Pith Number

pith:GCB3GTDW

pith:2006:GCB3GTDWAUQ4VMBMTOJZY4IL6N

not attested not anchored not stored refs pending

A formula for topology/deformations and its significance

Dennis Sullivan, Ruth Lawrence

arxiv:math/0610949 v3 · 2006-10-30 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCB3GTDWAUQ4VMBMTOJZY4IL6N}

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	2026-05-18T00:44:04.290203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3083b34c760521cab02c9b939c710bf3619b558750375064e4008cb1c79b2836

Aliases

arxiv: math/0610949 · arxiv_version: math/0610949v3 · doi: 10.48550/arxiv.math/0610949 · pith_short_12: GCB3GTDWAUQ4 · pith_short_16: GCB3GTDWAUQ4VMBM · pith_short_8: GCB3GTDW

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/GCB3GTDWAUQ4VMBMTOJZY4IL6N \
  | 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: 3083b34c760521cab02c9b939c710bf3619b558750375064e4008cb1c79b2836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a4d056bcd63aef249fba5269e25248c977fba5239f717ae6fd541b878546356",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2006-10-30T22:03:54Z",
    "title_canon_sha256": "955afbd846a3b19579da79351cd8feb428d60da05e317a575b36afe94c1d751d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610949",
    "kind": "arxiv",
    "version": 3
  }
}