Pith Number

pith:LD2EMQ5W

pith:2011:LD2EMQ5WMOVZRIVRQY2CTWD2JY

not attested not anchored not stored refs pending

Characteristic numbers of algebraic varieties

D. Kotschick

arxiv:1110.6824 v1 · 2011-10-31 · math.AG · math.AT · 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{LD2EMQ5WMOVZRIVRQY2CTWD2JY}

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	2026-05-18T04:09:54.142104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58f44643b663ab98a2b1863429d87a4e13c4cb400d1dda020f4f2a8d1f6e3a6a

Aliases

arxiv: 1110.6824 · arxiv_version: 1110.6824v1 · doi: 10.48550/arxiv.1110.6824 · pith_short_12: LD2EMQ5WMOVZ · pith_short_16: LD2EMQ5WMOVZRIVR · pith_short_8: LD2EMQ5W

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/LD2EMQ5WMOVZRIVRQY2CTWD2JY \
  | 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: 58f44643b663ab98a2b1863429d87a4e13c4cb400d1dda020f4f2a8d1f6e3a6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e49b855cbf20f117393cd0876fe28262c5a811a7fc87fee4ef01ced9aa88606",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-31T15:15:59Z",
    "title_canon_sha256": "1e4817cdf95ad7ce16419bc5dd8c45145d39ecfccf987389bbbb7b5343019e2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6824",
    "kind": "arxiv",
    "version": 1
  }
}