Pith Number

pith:7C7TQOVR

pith:2012:7C7TQOVRBQB27J4FAAIBMY3RD6

not attested not anchored not stored refs pending

Pentahedral volume, chaos, and quantum gravity

Hal M. Haggard

arxiv:1211.7311 v2 · 2012-11-30 · gr-qc · 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{7C7TQOVRBQB27J4FAAIBMY3RD6}

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	2026-05-18T02:56:44.424874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8bf383ab10c03afa78500101663711fb6e4b0dfd6fa72ccc61bc83cee727ae2

Aliases

arxiv: 1211.7311 · arxiv_version: 1211.7311v2 · doi: 10.48550/arxiv.1211.7311 · pith_short_12: 7C7TQOVRBQB2 · pith_short_16: 7C7TQOVRBQB27J4F · pith_short_8: 7C7TQOVR

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/7C7TQOVRBQB27J4FAAIBMY3RD6 \
  | 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: f8bf383ab10c03afa78500101663711fb6e4b0dfd6fa72ccc61bc83cee727ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa0c784d6d34b159b524252044ff610924b4e48e571566c477da7900de78aa1f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-11-30T16:59:23Z",
    "title_canon_sha256": "9050324916755d636ce1ec6bb56f179b58a4523b7d4955d68d8ee1cb6a668954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7311",
    "kind": "arxiv",
    "version": 2
  }
}