Pith Number

pith:FU5WSESF

pith:2012:FU5WSESFAEW5B4G5LWKDIQVHE3

not attested not anchored not stored refs pending

Birationally rigid complete intersections of quadrics and cubics

Aleksandr Pukhlikov

arxiv:1205.1998 v3 · 2012-05-09 · 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{FU5WSESFAEW5B4G5LWKDIQVHE3}

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	2026-05-18T01:57:36.080736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d3b691245012dd0f0dd5d943442a726ec18fd3eff2bc77f13f7c311eaa7f703

Aliases

arxiv: 1205.1998 · arxiv_version: 1205.1998v3 · doi: 10.48550/arxiv.1205.1998 · pith_short_12: FU5WSESFAEW5 · pith_short_16: FU5WSESFAEW5B4G5 · pith_short_8: FU5WSESF

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/FU5WSESFAEW5B4G5LWKDIQVHE3 \
  | 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: 2d3b691245012dd0f0dd5d943442a726ec18fd3eff2bc77f13f7c311eaa7f703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "636f8263cc3dab0fbfc33e2dfcb5b490b70fccbdf1a6bf8532b70ad9cf215fcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-09T14:36:20Z",
    "title_canon_sha256": "c611a5b9faaf6c17d72c951e059024db338ad3aec488e2d3482dea503dd264a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1998",
    "kind": "arxiv",
    "version": 3
  }
}