Pith Number

pith:7UPJTQH2

pith:2012:7UPJTQH2UN2GM4P5AJOBKB2ZP4

not attested not anchored not stored refs pending

Equivariant Poincar\'e series of filtrations and topology

A. Campillo, F. Delgado, S. M. Gusein-Zade

arxiv:1202.4300 v1 · 2012-02-20 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UPJTQH2UN2GM4P5AJOBKB2ZP4}

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	2026-05-18T01:58:23.589174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd1e99c0faa3746671fd025c1507597f3e585d7e4c212a421208dabd46f7c997

Aliases

arxiv: 1202.4300 · arxiv_version: 1202.4300v1 · doi: 10.48550/arxiv.1202.4300 · pith_short_12: 7UPJTQH2UN2G · pith_short_16: 7UPJTQH2UN2GM4P5 · pith_short_8: 7UPJTQH2

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/7UPJTQH2UN2GM4P5AJOBKB2ZP4 \
  | 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: fd1e99c0faa3746671fd025c1507597f3e585d7e4c212a421208dabd46f7c997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4bb8502c4da51a247446d362c1f1809e032073c0eaea488afd685ef3b4c894",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-20T12:19:24Z",
    "title_canon_sha256": "bd7e0a4a2da6d2a26fffd6d33e5699ca2e99bcf3af1ee77da4aca593ca65ba85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4300",
    "kind": "arxiv",
    "version": 1
  }
}