Pith Number

pith:CIVWDZNU

pith:2018:CIVWDZNUXAZ5JVJADAA75TCBYD

not attested not anchored not stored refs pending

On the boundedness of anti-canonical volumes of singular Fano $3$-folds in characteristic $p>5$

Omprokash Das

arxiv:1808.02102 v4 · 2018-08-06 · 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{CIVWDZNUXAZ5JVJADAA75TCBYD}

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	2026-05-17T23:53:06.461448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122b61e5b4b833d4d5201801fecc41c0ca705838fdfcc98bb6c31fdd905ca93b

Aliases

arxiv: 1808.02102 · arxiv_version: 1808.02102v4 · doi: 10.48550/arxiv.1808.02102 · pith_short_12: CIVWDZNUXAZ5 · pith_short_16: CIVWDZNUXAZ5JVJA · pith_short_8: CIVWDZNU

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/CIVWDZNUXAZ5JVJADAA75TCBYD \
  | 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: 122b61e5b4b833d4d5201801fecc41c0ca705838fdfcc98bb6c31fdd905ca93b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64431000483739ef117e1fb09c6534b7e24e3960f959e37b58d0d5594a8be5e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-06T20:41:56Z",
    "title_canon_sha256": "5a4388225577a21e8739fcb08eac04994fadc74202536a630f82bffc0807ed20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02102",
    "kind": "arxiv",
    "version": 4
  }
}