Pith Number

pith:PQ5LTWK3

pith:2019:PQ5LTWK3OURLN26MRPRTDEVIDC

not attested not anchored not stored refs pending

Embedding Heegaard Decompositions

Ian Agol, Michael H. Freedman

arxiv:1906.03244 v1 · 2019-06-07 · 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{PQ5LTWK3OURLN26MRPRTDEVIDC}

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	2026-05-17T23:43:54.595753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3ab9d95b7522b6ebcc8be33192a818bc6b1693cf213ef41400755bd7034c18

Aliases

arxiv: 1906.03244 · arxiv_version: 1906.03244v1 · doi: 10.48550/arxiv.1906.03244 · pith_short_12: PQ5LTWK3OURL · pith_short_16: PQ5LTWK3OURLN26M · pith_short_8: PQ5LTWK3

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/PQ5LTWK3OURLN26MRPRTDEVIDC \
  | 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: 7c3ab9d95b7522b6ebcc8be33192a818bc6b1693cf213ef41400755bd7034c18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4363b1f7e82e36f54dd7bdbf9b779f12010bea56c4a0000aef03fa69db466c6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-06-07T17:14:00Z",
    "title_canon_sha256": "6a0743010ffb3324733e5221b9c343f9c71a8f5c0d66d6c662a41d5179c725c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03244",
    "kind": "arxiv",
    "version": 1
  }
}