Pith Number

pith:UL2VOVQD

pith:2010:UL2VOVQDWVC6JFXEIDTKJB2NRB

not attested not anchored not stored refs pending

Path Integrals and the WKB approximation in Loop Quantum Cosmology

Abhay Ashtekar, Adam Henderson, Miguel Campiglia

arxiv:1011.1024 v1 · 2010-11-03 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UL2VOVQDWVC6JFXEIDTKJB2NRB}

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	2026-05-18T04:31:11.393109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f5575603b545e496e440e6a4874d8856cce9cd2778f6b16d3f0092ab3795db

Aliases

arxiv: 1011.1024 · arxiv_version: 1011.1024v1 · doi: 10.48550/arxiv.1011.1024 · pith_short_12: UL2VOVQDWVC6 · pith_short_16: UL2VOVQDWVC6JFXE · pith_short_8: UL2VOVQD

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/UL2VOVQDWVC6JFXEIDTKJB2NRB \
  | 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: a2f5575603b545e496e440e6a4874d8856cce9cd2778f6b16d3f0092ab3795db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3022354f6c98d5177925745f2ef87ed215f0aac325227979c324db96aaaeb5ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-03T22:22:23Z",
    "title_canon_sha256": "1c87e25735b8caad5b54b63d44fc2a9cc452ce2910514b67cc216b1cf6b60225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1024",
    "kind": "arxiv",
    "version": 1
  }
}