Pith Number

pith:5XMPJWAS

pith:2000:5XMPJWASZERH7R4QJ6IHO3M3KJ

not attested not anchored not stored refs pending

Elliptic Genera of Singular Varieties

Anatoly Libgober, Lev Borisov

arxiv:math/0007108 v3 · 2000-07-17 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XMPJWASZERH7R4QJ6IHO3M3KJ}

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.

Cited by

1 paper in Pith

Nonabelian shift operators and shifted Yangians

Receipt and verification

First computed	2026-07-04T14:34:36.453240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edd8f4d812c9227fc7904f90776d9b525837d2eedb6d1118120dc27d48ef827e

Aliases

arxiv: math/0007108 · arxiv_version: math/0007108v3 · doi: 10.48550/arxiv.math/0007108 · pith_short_12: 5XMPJWASZERH · pith_short_16: 5XMPJWASZERH7R4Q · pith_short_8: 5XMPJWAS

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/5XMPJWASZERH7R4QJ6IHO3M3KJ \
  | 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: edd8f4d812c9227fc7904f90776d9b525837d2eedb6d1118120dc27d48ef827e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed6f65cba1d0ba98bb1f5288be5e04838e1d4832b2232ee621c45436f6925cfb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-07-17T17:14:35Z",
    "title_canon_sha256": "bd4cf37f1c485cff26684577a066b836cdf55bf763eb1d5712ad59d1aa26a52b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007108",
    "kind": "arxiv",
    "version": 3
  }
}