Pith Number

pith:HUUHZYWY

pith:2017:HUUHZYWY5N6RKMHVDXCMPQE3AX

not attested not anchored not stored refs pending

Birational geometry of singular Fano hypersurfaces of index two

Aleksandr V. Pukhlikov

arxiv:1712.08796 v1 · 2017-12-23 · 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{HUUHZYWY5N6RKMHVDXCMPQE3AX}

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	2026-05-18T00:27:16.785870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d287ce2d8eb7d1530f51dc4c7c09b05f0cbc4687a4ecb3f0d92d4c35cf37ac5

Aliases

arxiv: 1712.08796 · arxiv_version: 1712.08796v1 · doi: 10.48550/arxiv.1712.08796 · pith_short_12: HUUHZYWY5N6R · pith_short_16: HUUHZYWY5N6RKMHV · pith_short_8: HUUHZYWY

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/HUUHZYWY5N6RKMHVDXCMPQE3AX \
  | 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: 3d287ce2d8eb7d1530f51dc4c7c09b05f0cbc4687a4ecb3f0d92d4c35cf37ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d1ebf92637969dc70fc81803d971f6fe9d88b5a40631d0ee32209252a2a7934",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-23T16:02:32Z",
    "title_canon_sha256": "63e76acfdf5be16c29760d8aff78ceacef98704f08ebf023193a8190bf0eb83e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08796",
    "kind": "arxiv",
    "version": 1
  }
}