Pith Number

pith:P6NDIIBT

pith:2013:P6NDIIBTF2AOF7GZTOAMVNJCJJ

not attested not anchored not stored refs pending

Homological shadows of attracting laminations

Asaf Hadari

arxiv:1305.1613 v3 · 2013-05-07 · math.GR · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6NDIIBTF2AOF7GZTOAMVNJCJJ}

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	2026-05-18T01:35:37.213632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f9a3420332e80e2fcd99b80cab5224a6b2a1adddbe2e4bee737e02ad7904833

Aliases

arxiv: 1305.1613 · arxiv_version: 1305.1613v3 · doi: 10.48550/arxiv.1305.1613 · pith_short_12: P6NDIIBTF2AO · pith_short_16: P6NDIIBTF2AOF7GZ · pith_short_8: P6NDIIBT

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/P6NDIIBTF2AOF7GZTOAMVNJCJJ \
  | 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: 7f9a3420332e80e2fcd99b80cab5224a6b2a1adddbe2e4bee737e02ad7904833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7190e868c622fc04fcd7f0f2bc394e8b41cb52a16b4e5333f7b04a61304740bb",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-07T19:18:58Z",
    "title_canon_sha256": "05bd1e729f033d0610be8e7bb63df8294d06d37270d8a2860db3970e6f3f5fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1613",
    "kind": "arxiv",
    "version": 3
  }
}