Pith Number

pith:KPJ3AKCO

pith:2017:KPJ3AKCODWZVYU4GYVSJYSO4WW

not attested not anchored not stored refs pending

An algebraic formula for the index of a 1-form on a real quotient singularity

Sabir M. Gusein-Zade, Wolfgang Ebeling

arxiv:1708.09219 v1 · 2017-08-30 · 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{KPJ3AKCODWZVYU4GYVSJYSO4WW}

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	2026-05-18T00:36:20.565925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d3b0284e1db35c5386c5649c49dcb5b4819c7f9cd7b941103dbb0b45b74cdb

Aliases

arxiv: 1708.09219 · arxiv_version: 1708.09219v1 · doi: 10.48550/arxiv.1708.09219 · pith_short_12: KPJ3AKCODWZV · pith_short_16: KPJ3AKCODWZVYU4G · pith_short_8: KPJ3AKCO

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/KPJ3AKCODWZVYU4GYVSJYSO4WW \
  | 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: 53d3b0284e1db35c5386c5649c49dcb5b4819c7f9cd7b941103dbb0b45b74cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74aea2b0a13925499018a9cbd4a9b93bd95d98a65f799ce671d43a05c5b0a3b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-30T11:32:26Z",
    "title_canon_sha256": "75e4cee88ce89eb871a6ea905901827d5ff41b13dc588501aafe43cd2560902a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09219",
    "kind": "arxiv",
    "version": 1
  }
}