Pith Number

pith:BG236WCI

pith:2002:BG236WCIDTMLFEMVHBWE4ZO4SB

not attested not anchored not stored refs pending

Quantum gravity, shadow states, and quantum mechanics

Abhay Ashtekar, Joshua L. Willis, Stephen Fairhurst

arxiv:gr-qc/0207106 v3 · 2002-07-26 · gr-qc · hep-th · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BG236WCIDTMLFEMVHBWE4ZO4SB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

The problem of time: a path integral view

Chaos and epoch structure in the deformed Mixmaster universe

Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle

Receipt and verification

First computed	2026-05-18T00:37:32.047210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b5bf58481cd8b29195386c4e65dc905b74f86a794edebeb567dba9730925b0

Aliases

arxiv: gr-qc/0207106 · arxiv_version: gr-qc/0207106v3 · doi: 10.48550/arxiv.gr-qc/0207106 · pith_short_12: BG236WCIDTML · pith_short_16: BG236WCIDTMLFEMV · pith_short_8: BG236WCI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BG236WCIDTMLFEMVHBWE4ZO4SB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 09b5bf58481cd8b29195386c4e65dc905b74f86a794edebeb567dba9730925b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b94ca7c8ed5f8e9f16b2a871362ee39cf2ec6e4c52d06269c33fc1d96b7b50df",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-07-26T17:08:42Z",
    "title_canon_sha256": "b0a003a070d89779630ecfa4ef58365e8259d7fb7dabd0c495f590d665ac3013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0207106",
    "kind": "arxiv",
    "version": 3
  }
}