Pith Number

pith:A4M56EMF

pith:2012:A4M56EMF72EDK25XG4XSJ3OJDP

not attested not anchored not stored refs pending

A generalized mass involving higher order symmetric function of the curvature tensor

Luc Nguyen, Yanyan Li

arxiv:1211.3676 v2 · 2012-11-15 · 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{A4M56EMF72EDK25XG4XSJ3OJDP}

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	2026-05-18T02:40:18.898565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0719df1185fe88356bb7372f24edc91be9c1d0d8d4dd944e996ca62e880e008a

Aliases

arxiv: 1211.3676 · arxiv_version: 1211.3676v2 · doi: 10.48550/arxiv.1211.3676 · pith_short_12: A4M56EMF72ED · pith_short_16: A4M56EMF72EDK25X · pith_short_8: A4M56EMF

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/A4M56EMF72EDK25XG4XSJ3OJDP \
  | 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: 0719df1185fe88356bb7372f24edc91be9c1d0d8d4dd944e996ca62e880e008a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc351b450ca5750dc36437b9494907e372b7c39a35e3d76b07c375ca5712bd51",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-11-15T17:51:16Z",
    "title_canon_sha256": "6f0bb0136f10d4ba2f7f9d71dfe3bfa2a0b024622ea0d9a6f9ff8e590003ff82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3676",
    "kind": "arxiv",
    "version": 2
  }
}