Pith Number

pith:HKEUII3S

pith:2011:HKEUII3S25AIXUPIWRKQU5USZX

not attested not anchored not stored refs pending

K-trivial structures on Fano complete intersections

Aleksandr Pukhlikov

arxiv:1110.2048 v1 · 2011-10-10 · 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{HKEUII3S25AIXUPIWRKQU5USZX}

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	2026-05-18T04:11:19.045921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a89442372d7408bd1e8b4550a7692cdc284ea8901f035bf56fde69c557910db

Aliases

arxiv: 1110.2048 · arxiv_version: 1110.2048v1 · doi: 10.48550/arxiv.1110.2048 · pith_short_12: HKEUII3S25AI · pith_short_16: HKEUII3S25AIXUPI · pith_short_8: HKEUII3S

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/HKEUII3S25AIXUPIWRKQU5USZX \
  | 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: 3a89442372d7408bd1e8b4550a7692cdc284ea8901f035bf56fde69c557910db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d110bc9fd73fbee53917df27f19e0c6dc7339d14f0504a615185800daaf624e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-10T14:19:02Z",
    "title_canon_sha256": "46d9622e2b8f42b4158d5b0fb44d77b28de79ea861540c64200e1eb24c0ef28b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2048",
    "kind": "arxiv",
    "version": 1
  }
}