Pith Number

pith:PRG66GD6

pith:2014:PRG66GD6PMUG3ZQZD5BBLKHJZX

not attested not anchored not stored refs pending

Group field theories for all loop quantum gravity

Daniele Oriti, James P. Ryan, Johannes Th\"urigen

arxiv:1409.3150 v2 · 2014-09-10 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRG66GD6PMUG3ZQZD5BBLKHJZX}

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	2026-05-18T02:27:05.269418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4def187e7b286de6191f4215a8e9cdddca66dc8d4075d214214eae05f055c4

Aliases

arxiv: 1409.3150 · arxiv_version: 1409.3150v2 · doi: 10.48550/arxiv.1409.3150 · pith_short_12: PRG66GD6PMUG · pith_short_16: PRG66GD6PMUG3ZQZ · pith_short_8: PRG66GD6

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/PRG66GD6PMUG3ZQZD5BBLKHJZX \
  | 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: 7c4def187e7b286de6191f4215a8e9cdddca66dc8d4075d214214eae05f055c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a120ce32d584aa57efb80461cb3e8965d1599af5785193b05fe1ac9aa42b66",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-09-10T16:53:53Z",
    "title_canon_sha256": "e13794efe6e4883c24178d79fe69dc47d3a1d9885a81093ec0d6c6c91e409808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3150",
    "kind": "arxiv",
    "version": 2
  }
}