Pith Number

pith:6CZZT6ZP

pith:2013:6CZZT6ZP4JI4L4DZEWC3HNSUR2

not attested not anchored not stored refs pending

On Families in Differential Geometry

Giovanni Moreno

arxiv:1302.2061 v1 · 2013-02-08 · math.DG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CZZT6ZP4JI4L4DZEWC3HNSUR2}

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	2026-05-18T03:27:01.007155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0b399fb2fe251c5f0792585b3b6548ea35cb72ced4ccda537fba9fbcc4b9dbc

Aliases

arxiv: 1302.2061 · arxiv_version: 1302.2061v1 · doi: 10.48550/arxiv.1302.2061 · pith_short_12: 6CZZT6ZP4JI4 · pith_short_16: 6CZZT6ZP4JI4L4DZ · pith_short_8: 6CZZT6ZP

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/6CZZT6ZP4JI4L4DZEWC3HNSUR2 \
  | 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: f0b399fb2fe251c5f0792585b3b6548ea35cb72ced4ccda537fba9fbcc4b9dbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbd67367a516c3a7f44e686bb06c541631e2283ea1afb16f1d0f7dbae6115974",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-08T15:15:42Z",
    "title_canon_sha256": "419e9bfe2ebfe63e2a07ca32c4946b957ee666e82673cfbfa12dd219035fa0a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2061",
    "kind": "arxiv",
    "version": 1
  }
}