Pith Number

pith:4NYUS37C

pith:2015:4NYUS37CVCNMV5HPUXNCZW2DZB

not attested not anchored not stored refs pending

Higher order spectra, equivariant Hodge-Deligne polynomials and Macdonald type equations

Sabir M. Gusein-Zade, Wolfgang Ebeling

arxiv:1507.08088 v1 · 2015-07-29 · math.AG · 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{4NYUS37CVCNMV5HPUXNCZW2DZB}

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	2026-05-18T01:36:08.359391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e371496fe2a89acaf4efa5da2cdb43c850a76eedef29bae29d167b50194261a6

Aliases

arxiv: 1507.08088 · arxiv_version: 1507.08088v1 · doi: 10.48550/arxiv.1507.08088 · pith_short_12: 4NYUS37CVCNM · pith_short_16: 4NYUS37CVCNMV5HP · pith_short_8: 4NYUS37C

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/4NYUS37CVCNMV5HPUXNCZW2DZB \
  | 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: e371496fe2a89acaf4efa5da2cdb43c850a76eedef29bae29d167b50194261a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70728c1a84c30cda8a33c502284e92168e1b4f5f6368fb21b77ef76805f952cc",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-29T10:01:59Z",
    "title_canon_sha256": "a7483fa0a2d5354bd9d8da9f9360b4fcb0b44659da56b1b27159aac9c977bf80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08088",
    "kind": "arxiv",
    "version": 1
  }
}