Pith Number

pith:EXMVNBLG

pith:2016:EXMVNBLG6YVE7HOKM65GXPJBLK

not attested not anchored not stored refs pending

Many Haken Heegaard splittings

Alessandro Sisto

arxiv:1611.00066 v2 · 2016-10-31 · 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{EXMVNBLG6YVE7HOKM65GXPJBLK}

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	2026-05-18T00:08:57.769239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25d9568566f62a4f9dca67ba6bbd215aa20aa199123abede07917ac400584216

Aliases

arxiv: 1611.00066 · arxiv_version: 1611.00066v2 · doi: 10.48550/arxiv.1611.00066 · pith_short_12: EXMVNBLG6YVE · pith_short_16: EXMVNBLG6YVE7HOK · pith_short_8: EXMVNBLG

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/EXMVNBLG6YVE7HOKM65GXPJBLK \
  | 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: 25d9568566f62a4f9dca67ba6bbd215aa20aa199123abede07917ac400584216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19f205911151046f15cbb7811b2cde5e88668617f63f7a381771a3dd863f406d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-31T22:29:56Z",
    "title_canon_sha256": "f8a421b96c8156aba321c12d8c0147b3225391a270f41024b08abfc15e1c720b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00066",
    "kind": "arxiv",
    "version": 2
  }
}