Pith Number

pith:ELJ6YFQR

pith:2015:ELJ6YFQRNP32NA5XXVTZLGK5LC

not attested not anchored not stored refs pending

Physical Hilbert Spaces in Quantum Gravity

Przemyslaw Malkiewicz

arxiv:1512.04332 v1 · 2015-12-14 · gr-qc · 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{ELJ6YFQRNP32NA5XXVTZLGK5LC}

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.

Receipt and verification

First computed	2026-05-18T01:24:22.494424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22d3ec16116bf7a683b7bd6795995d589682b07dee8d1984c758a917a1e4c88f

Aliases

arxiv: 1512.04332 · arxiv_version: 1512.04332v1 · doi: 10.48550/arxiv.1512.04332 · pith_short_12: ELJ6YFQRNP32 · pith_short_16: ELJ6YFQRNP32NA5X · pith_short_8: ELJ6YFQR

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/ELJ6YFQRNP32NA5XXVTZLGK5LC \
  | 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: 22d3ec16116bf7a683b7bd6795995d589682b07dee8d1984c758a917a1e4c88f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bddc63307b903a9c124590e721dda24384d44cb10920a5810fe03467d0c21d4",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-14T14:19:49Z",
    "title_canon_sha256": "0d8733864db1f2e96e88f5941c626331c1a56fe84eba966b6644c1f6739bfa94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04332",
    "kind": "arxiv",
    "version": 1
  }
}