Pith Number

pith:ZQZYDZ5U

pith:2010:ZQZYDZ5UMV2BWU6I2QA3XGQLHF

not attested not anchored not stored refs pending

Fano threefolds of large Fano index and large degree

Yuri Prokhorov

arxiv:1010.3404 v7 · 2010-10-17 · 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{ZQZYDZ5UMV2BWU6I2QA3XGQLHF}

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	2026-05-18T01:21:45.537747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc3381e7b465741b53c8d401bb9a0b3959c14cc5b377b026b34cbbf45d9e688b

Aliases

arxiv: 1010.3404 · arxiv_version: 1010.3404v7 · doi: 10.48550/arxiv.1010.3404 · pith_short_12: ZQZYDZ5UMV2B · pith_short_16: ZQZYDZ5UMV2BWU6I · pith_short_8: ZQZYDZ5U

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/ZQZYDZ5UMV2BWU6I2QA3XGQLHF \
  | 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: cc3381e7b465741b53c8d401bb9a0b3959c14cc5b377b026b34cbbf45d9e688b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ea447a28fc53dc8695d928a9f1f68dcf62869be0d47b259c11fc9085ccebb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-17T11:11:43Z",
    "title_canon_sha256": "1364f17a786b4e7f623e0a876fab38d1b0f5661a9a16777ef004754d3a7336dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3404",
    "kind": "arxiv",
    "version": 7
  }
}