Pith Number

pith:D56LXKN6

pith:2009:D56LXKN6JN3YWCFWL4EP52T65H

not attested not anchored not stored refs pending

C-essential surfaces in (3-manifold, graph) pairs

Maggy Tomova, Scott Taylor

arxiv:0910.3251 v3 · 2009-10-17 · 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{D56LXKN6JN3YWCFWL4EP52T65H}

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	2026-05-18T02:56:21.587844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f7cbba9be4b778b08b65f08feea7ee9de675097d4d6de9c0300d792f376d015

Aliases

arxiv: 0910.3251 · arxiv_version: 0910.3251v3 · doi: 10.48550/arxiv.0910.3251 · pith_short_12: D56LXKN6JN3Y · pith_short_16: D56LXKN6JN3YWCFW · pith_short_8: D56LXKN6

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/D56LXKN6JN3YWCFWL4EP52T65H \
  | 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: 1f7cbba9be4b778b08b65f08feea7ee9de675097d4d6de9c0300d792f376d015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f507d058649717cb7b1f9b2498a5acd1f1edf726bb141481b0eb5833df73ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-10-17T00:00:28Z",
    "title_canon_sha256": "b467930eff1b6f5a94635b2d40306209423d679486e4b6b284f2b99ac83b9ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3251",
    "kind": "arxiv",
    "version": 3
  }
}