Pith Number

pith:TNJ3MKD7

pith:2016:TNJ3MKD7I6V2PTRYQT2XJSDVG2

not attested not anchored not stored refs pending

Polynomial-time algorithms for the curve graph

Mark C. Bell, Richard C. H. Webb

arxiv:1609.09392 v2 · 2016-09-29 · 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{TNJ3MKD7I6V2PTRYQT2XJSDVG2}

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	2026-05-18T01:03:13.458187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b53b6287f47aba7ce3884f574c8753687bca9b53f1b75bc726803883230cd0f

Aliases

arxiv: 1609.09392 · arxiv_version: 1609.09392v2 · doi: 10.48550/arxiv.1609.09392 · pith_short_12: TNJ3MKD7I6V2 · pith_short_16: TNJ3MKD7I6V2PTRY · pith_short_8: TNJ3MKD7

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/TNJ3MKD7I6V2PTRYQT2XJSDVG2 \
  | 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: 9b53b6287f47aba7ce3884f574c8753687bca9b53f1b75bc726803883230cd0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84402ff34e00d9ab8ea71ce6972673118ae74bbbaa5e3a39a70f307a000c6522",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-09-29T15:35:09Z",
    "title_canon_sha256": "9cb7c08163c8c2237681805e86c40005daf440778de5ca738dd33b73db743fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09392",
    "kind": "arxiv",
    "version": 2
  }
}