Pith Number

pith:GINOWG6H

pith:2001:GINOWG6HGIUTQENKQU6C7E7DCD

not attested not anchored not stored refs pending

Schematic homotopy types and non-abelian Hodge theory

B. Toen, L. Katzarkov, T. Pantev

arxiv:math/0107129 v5 · 2001-07-18 · math.AG · 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{GINOWG6HGIUTQENKQU6C7E7DCD}

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	2026-05-18T03:02:31.310715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

321aeb1bc732293811aa853c2f93e310e459b045c6f2695328589ee0fa28e8ad

Aliases

arxiv: math/0107129 · arxiv_version: math/0107129v5 · doi: 10.48550/arxiv.math/0107129 · pith_short_12: GINOWG6HGIUT · pith_short_16: GINOWG6HGIUTQENK · pith_short_8: GINOWG6H

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/GINOWG6HGIUTQENKQU6C7E7DCD \
  | 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: 321aeb1bc732293811aa853c2f93e310e459b045c6f2695328589ee0fa28e8ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef17e02e690de7f7dbc39991f119521184ea533f637bb43b97bc5083d6a8ae62",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-07-18T14:25:50Z",
    "title_canon_sha256": "a5c0508235d4a9b4dca7d7b00e46f72fdbf366379c416c0599092e810f6cbd07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107129",
    "kind": "arxiv",
    "version": 5
  }
}