Pith Number

pith:3Z3PZ5BL

pith:2015:3Z3PZ5BLMV6HK3XYMIKGC4F5LU

not attested not anchored not stored refs pending

Equivariant Poincar\'e series and topology of valuations

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

arxiv:1505.03920 v1 · 2015-05-14 · 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{3Z3PZ5BLMV6HK3XYMIKGC4F5LU}

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	2026-05-18T02:09:40.706115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de76fcf42b657c756ef862146170bd5d35e74271a807a185dadd478abc540aa8

Aliases

arxiv: 1505.03920 · arxiv_version: 1505.03920v1 · doi: 10.48550/arxiv.1505.03920 · pith_short_12: 3Z3PZ5BLMV6H · pith_short_16: 3Z3PZ5BLMV6HK3XY · pith_short_8: 3Z3PZ5BL

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/3Z3PZ5BLMV6HK3XYMIKGC4F5LU \
  | 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: de76fcf42b657c756ef862146170bd5d35e74271a807a185dadd478abc540aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e88b86346b812fa309329efefde67f8ea11cb920ecf1ee95f19a6930e0426355",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-14T23:30:49Z",
    "title_canon_sha256": "485c452910370cf5acd405d9bc07a3faa8763719c1aaec0a0b9a17930ae93c38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03920",
    "kind": "arxiv",
    "version": 1
  }
}