Pith Number

pith:D3RQNFRP

pith:1999:D3RQNFRPIYUD46MINJPJN2IUOV

not attested not anchored not stored refs pending

Poincar\'e polynomial of the moduli spaces of parabolic bundles

Yogish I. Holla

arxiv:math/9902002 v1 · 1999-02-01 · 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{D3RQNFRPIYUD46MINJPJN2IUOV}

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	2026-05-18T01:05:33.331248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee306962f46283e79886a5e96e914756fd7d1aa9d640f1a1640c251f32f42e8

Aliases

arxiv: math/9902002 · arxiv_version: math/9902002v1 · doi: 10.48550/arxiv.math/9902002 · pith_short_12: D3RQNFRPIYUD · pith_short_16: D3RQNFRPIYUD46MI · pith_short_8: D3RQNFRP

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/D3RQNFRPIYUD46MINJPJN2IUOV \
  | 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: 1ee306962f46283e79886a5e96e914756fd7d1aa9d640f1a1640c251f32f42e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff62174e707155968cf2e550e8ab7d2a2a3e618a48eee6a1349cce289f5c813",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-02-01T11:04:45Z",
    "title_canon_sha256": "51faacb6c4a10ed73677a4b104e8d1ffcd4ffd30073e7f22261156c9ac7bb3c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9902002",
    "kind": "arxiv",
    "version": 1
  }
}