Pith Number

pith:IEEFYNQN

pith:2001:IEEFYNQN7XLZ2HYTRZ7SDWTBAC

not attested not anchored not stored refs pending

Birationally rigid Fano hypersurfaces with isolated singularities

Aleksandr V. Pukhlikov

arxiv:math/0106110 v1 · 2001-06-13 · 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{IEEFYNQN7XLZ2HYTRZ7SDWTBAC}

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	2026-05-18T01:38:29.922450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41085c360dfdd79d1f138e7f21da6100b6f1302028f3a1fb9ed23b143ed3a3ba

Aliases

arxiv: math/0106110 · arxiv_version: math/0106110v1 · doi: 10.48550/arxiv.math/0106110 · pith_short_12: IEEFYNQN7XLZ · pith_short_16: IEEFYNQN7XLZ2HYT · pith_short_8: IEEFYNQN

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/IEEFYNQN7XLZ2HYTRZ7SDWTBAC \
  | 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: 41085c360dfdd79d1f138e7f21da6100b6f1302028f3a1fb9ed23b143ed3a3ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59958303f3f6b23fe630e9a296276aab4e8895feedcf3c3b5cb7272af355f24e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-06-13T15:36:48Z",
    "title_canon_sha256": "15891e6f24b01ce8464fa5f5e17c7fe8976fae83b88683cb835b1b88e3d967a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106110",
    "kind": "arxiv",
    "version": 1
  }
}