Pith Number

pith:MCYOXUXJ

pith:2001:MCYOXUXJ5GRATI7R5LULCFROEQ

not attested not anchored not stored refs pending

Quantum Riemann - Roch, Lefschetz and Serre

Alexander Givental, Tom Coates

arxiv:math/0110142 v2 · 2001-10-13 · 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{MCYOXUXJ5GRATI7R5LULCFROEQ}

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

Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials

Receipt and verification

First computed	2026-07-04T14:35:33.944674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b0ebd2e9e9a209a3f1eae8b1162e243ab648638397d8a193b7172f48216ad0

Aliases

arxiv: math/0110142 · arxiv_version: math/0110142v2 · doi: 10.48550/arxiv.math/0110142 · pith_short_12: MCYOXUXJ5GRA · pith_short_16: MCYOXUXJ5GRATI7R · pith_short_8: MCYOXUXJ

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/MCYOXUXJ5GRATI7R5LULCFROEQ \
  | 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: 60b0ebd2e9e9a209a3f1eae8b1162e243ab648638397d8a193b7172f48216ad0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b2c3c4d7ff9e7633af27c95d92c896dd6d560df809b1b2821185f42c1f9f70",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-10-13T22:24:02Z",
    "title_canon_sha256": "650ec52329f0015abcb2fa9ea5436b33ab160cb8fec2280cf5d9501170162269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110142",
    "kind": "arxiv",
    "version": 2
  }
}