Pith Number

pith:T3COGTPU

pith:2013:T3COGTPUG5PT7UE5RMSH423HPG

not attested not anchored not stored refs pending

On expanding foliations

Andy Hammerlindl

arxiv:1303.6712 v2 · 2013-03-27 · 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{T3COGTPUG5PT7UE5RMSH423HPG}

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	2026-05-18T03:08:15.929270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec4e34df4375f3fd09d8b247e6b67798ddf6e6de33b5a1f6b8f3baeb9ec73ce

Aliases

arxiv: 1303.6712 · arxiv_version: 1303.6712v2 · doi: 10.48550/arxiv.1303.6712 · pith_short_12: T3COGTPUG5PT · pith_short_16: T3COGTPUG5PT7UE5 · pith_short_8: T3COGTPU

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/T3COGTPUG5PT7UE5RMSH423HPG \
  | 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: 9ec4e34df4375f3fd09d8b247e6b67798ddf6e6de33b5a1f6b8f3baeb9ec73ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b84ed894eb5a704cbb78949d4b8b8c1993ef5d1b99bd0aaf013df73118b920",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-27T00:35:40Z",
    "title_canon_sha256": "c53dc851e4b58b908c3d75f07b9f773af8c2212b80e5b402f46a08f6bc6dfdef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6712",
    "kind": "arxiv",
    "version": 2
  }
}