Pith Number

pith:GTXZ2PSX

pith:2016:GTXZ2PSXW53LZPHMVVVUDW6BGK

not attested not anchored not stored refs pending

An elementary introduction to loop quantum gravity

Norbert Bodendorfer

arxiv:1607.05129 v1 · 2016-07-18 · 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{GTXZ2PSXW53LZPHMVVVUDW6BGK}

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

1 paper in Pith

Semiclassical Mixmaster Universe

Receipt and verification

First computed	2026-05-18T01:10:55.842024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ef9d3e57b776bcbcecad6b41dbc1329e44bcaeb2f8dd70ade180aefb5ae94a

Aliases

arxiv: 1607.05129 · arxiv_version: 1607.05129v1 · doi: 10.48550/arxiv.1607.05129 · pith_short_12: GTXZ2PSXW53L · pith_short_16: GTXZ2PSXW53LZPHM · pith_short_8: GTXZ2PSX

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/GTXZ2PSXW53LZPHMVVVUDW6BGK \
  | 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: 34ef9d3e57b776bcbcecad6b41dbc1329e44bcaeb2f8dd70ade180aefb5ae94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef95fa471bd225b8eab94aa9fea4f922ef1cdbc4030e27d65d95304e03e7b3db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-07-18T15:30:41Z",
    "title_canon_sha256": "5c5c5942f15a83e9a6f56b3a7740e2c651c241909ed5d2460d4e809c517f95c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05129",
    "kind": "arxiv",
    "version": 1
  }
}