Pith Number

pith:DTR5WY6V

pith:1998:DTR5WY6VAVLWUNWA7GA4BM5HMX

not attested not anchored not stored refs pending

Stable sheaves on elliptic fibrations

D. Hernandez Ruiperez, J.M. Munoz Porras

arxiv:math/9809019 v3 · 1998-09-04 · 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{DTR5WY6VAVLWUNWA7GA4BM5HMX}

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	2026-05-18T01:38:22.776748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ce3db63d505576a36c0f981c0b3a765dec5bfc93f6898630cfdc95ce6ae84a0

Aliases

arxiv: math/9809019 · arxiv_version: math/9809019v3 · doi: 10.48550/arxiv.math/9809019 · pith_short_12: DTR5WY6VAVLW · pith_short_16: DTR5WY6VAVLWUNWA · pith_short_8: DTR5WY6V

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/DTR5WY6VAVLWUNWA7GA4BM5HMX \
  | 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: 1ce3db63d505576a36c0f981c0b3a765dec5bfc93f6898630cfdc95ce6ae84a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab291e43fdc94f0e7ad0083095d64d25290df1a2b959918bfb6ba4c3869acce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-09-04T17:06:24Z",
    "title_canon_sha256": "1079822f1bc2a2fa7cb23b7821fdc65e915ff5606f904df3553ab0b16d6c9314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809019",
    "kind": "arxiv",
    "version": 3
  }
}