Pith Number

pith:ZJ2PCBHE

pith:2012:ZJ2PCBHE7KC756GXZQABS56437

not attested not anchored not stored refs pending

A note on Codazzi tensors

Carlo Mantegazza, Giovanni Catino, Lorenzo Mazzieri

arxiv:1205.3460 v3 · 2012-05-15 · 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{ZJ2PCBHE7KC756GXZQABS56437}

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	2026-05-18T02:07:32.578804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca74f104e4fa85fef8d7cc001977dcdfd23cb55d8c08a72b49e70bb80b0f04d4

Aliases

arxiv: 1205.3460 · arxiv_version: 1205.3460v3 · doi: 10.48550/arxiv.1205.3460 · pith_short_12: ZJ2PCBHE7KC7 · pith_short_16: ZJ2PCBHE7KC756GX · pith_short_8: ZJ2PCBHE

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/ZJ2PCBHE7KC756GXZQABS56437 \
  | 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: ca74f104e4fa85fef8d7cc001977dcdfd23cb55d8c08a72b49e70bb80b0f04d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "327a024b4c9bdb5dc04b0951c401df16f33ddd776aeffd2bce4ea7286d5d4616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-15T17:58:02Z",
    "title_canon_sha256": "f062d6f981a5c513ba36a3bc6cc5bb168977624e78409c1e3513aeeacd43e65e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3460",
    "kind": "arxiv",
    "version": 3
  }
}