Pith Number

pith:F5HLOP2W

pith:2011:F5HLOP2WOIW7BJIPB7COMDOY6K

not attested not anchored not stored refs pending

A proposed proper EPRL vertex amplitude

Jonathan Engle

arxiv:1111.2865 v4 · 2011-11-11 · 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{F5HLOP2WOIW7BJIPB7COMDOY6K}

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

The problem of time: a path integral view

Receipt and verification

First computed	2026-05-18T03:13:32.239512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f4eb73f56722df0a50f0fc4e60dd8f2a1d42febe2058d185baead38d59126ae

Aliases

arxiv: 1111.2865 · arxiv_version: 1111.2865v4 · doi: 10.48550/arxiv.1111.2865 · pith_short_12: F5HLOP2WOIW7 · pith_short_16: F5HLOP2WOIW7BJIP · pith_short_8: F5HLOP2W

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/F5HLOP2WOIW7BJIPB7COMDOY6K \
  | 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: 2f4eb73f56722df0a50f0fc4e60dd8f2a1d42febe2058d185baead38d59126ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d4866a9c41e1bbb6447dea8794ad7bb18dcba1503597f1be0e6a9484d9f3f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-11T21:03:12Z",
    "title_canon_sha256": "94feaf1752cfb133fb4870c00db48374b325629ad57ec30d49898a2aa7f57afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2865",
    "kind": "arxiv",
    "version": 4
  }
}