Pith Number

pith:5FZRNVUC

pith:2011:5FZRNVUC6QLJVH3KA5Z5GVBAIO

not attested not anchored not stored refs pending

Degree of arbitrariness directly from moving frames

Ziyang Hu

arxiv:1112.2325 v2 · 2011-12-11 · math-ph · gr-qc · 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{5FZRNVUC6QLJVH3KA5Z5GVBAIO}

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	2026-05-18T04:04:52.988436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e97316d682f4169a9f6a0773d3542043a0df60a3e132fb09012f0217205abb1d

Aliases

arxiv: 1112.2325 · arxiv_version: 1112.2325v2 · doi: 10.48550/arxiv.1112.2325 · pith_short_12: 5FZRNVUC6QLJ · pith_short_16: 5FZRNVUC6QLJVH3K · pith_short_8: 5FZRNVUC

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/5FZRNVUC6QLJVH3KA5Z5GVBAIO \
  | 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: e97316d682f4169a9f6a0773d3542043a0df60a3e132fb09012f0217205abb1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09ef245b128fa319db09254b93925b86e1cef301d29703d8102de21d62afc9d7",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-11T06:25:01Z",
    "title_canon_sha256": "e667a04335e54e7222d9fbf5c08af32a9b7e1e85c9a9e8c7411dfda3fdc8ae1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2325",
    "kind": "arxiv",
    "version": 2
  }
}