Pith Number

pith:D4US5ERT

pith:2011:D4US5ERTCXSMFOIHB6MLFWHQKR

not attested not anchored not stored refs pending

The Simplicial Ricci Tensor

Jonathan R. McDonald, Paul M. Alsing, Warner A. Miller

arxiv:1107.2458 v1 · 2011-07-13 · gr-qc · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4US5ERTCXSMFOIHB6MLFWHQKR}

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	2026-05-18T04:08:45.053845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f292e923315e4c2b9070f98b2d8f0547d4725cdfd7597d6143a0fdcd0cdd61b

Aliases

arxiv: 1107.2458 · arxiv_version: 1107.2458v1 · doi: 10.48550/arxiv.1107.2458 · pith_short_12: D4US5ERTCXSM · pith_short_16: D4US5ERTCXSMFOIH · pith_short_8: D4US5ERT

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/D4US5ERTCXSMFOIHB6MLFWHQKR \
  | 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: 1f292e923315e4c2b9070f98b2d8f0547d4725cdfd7597d6143a0fdcd0cdd61b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e71b54e102d158d7187beb07dbe8794187c676b612eb8d2750209831064440ab",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-13T03:42:51Z",
    "title_canon_sha256": "998d4aede68d31a542ed9f585591e6bd27f8a61a56c53371d93d3090e66fa6b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2458",
    "kind": "arxiv",
    "version": 1
  }
}