Pith Number

pith:FK7PCZXT

pith:2012:FK7PCZXT2A3DRQN5RJ5VNJYQCU

not attested not anchored not stored refs pending

Homogenization on arbitrary manifolds

Antonio Siconolfi, Gonzalo Contreras, Renato Iturriaga

arxiv:1211.1081 v3 · 2012-11-06 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FK7PCZXT2A3DRQN5RJ5VNJYQCU}

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	2026-05-18T03:02:21.277380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2abef166f3d03638c1bd8a7b56a7101518a3423092a0737c10c2584e7b9d8d00

Aliases

arxiv: 1211.1081 · arxiv_version: 1211.1081v3 · doi: 10.48550/arxiv.1211.1081 · pith_short_12: FK7PCZXT2A3D · pith_short_16: FK7PCZXT2A3DRQN5 · pith_short_8: FK7PCZXT

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/FK7PCZXT2A3DRQN5RJ5VNJYQCU \
  | 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: 2abef166f3d03638c1bd8a7b56a7101518a3423092a0737c10c2584e7b9d8d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78f93837374ebc5aad4f29c03b92b844c95e8e4a7019d66604e34c7310b2b251",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-06T00:03:13Z",
    "title_canon_sha256": "a3ec1fc61b21a2b969a0b2897a6c0058f4e1f36af7746ad1212b53721cce8067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1081",
    "kind": "arxiv",
    "version": 3
  }
}