Pith Number

pith:ZX2Z7HKB

pith:2015:ZX2Z7HKBZ6DFGNAPWMGZNLPHOA

not attested not anchored not stored refs pending

On the Adjunction Formula for $3$-folds in characteristic $p>5$

Christopher D. Hacon, Omprokash Das

arxiv:1505.05903 v2 · 2015-05-21 · 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{ZX2Z7HKBZ6DFGNAPWMGZNLPHOA}

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	2026-05-18T01:14:18.079698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdf59f9d41cf8653340fb30d96ade77002e740f76ab705a12a176a3405a7d3c2

Aliases

arxiv: 1505.05903 · arxiv_version: 1505.05903v2 · doi: 10.48550/arxiv.1505.05903 · pith_short_12: ZX2Z7HKBZ6DF · pith_short_16: ZX2Z7HKBZ6DFGNAP · pith_short_8: ZX2Z7HKB

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/ZX2Z7HKBZ6DFGNAPWMGZNLPHOA \
  | 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: cdf59f9d41cf8653340fb30d96ade77002e740f76ab705a12a176a3405a7d3c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793cc16f25c2b1f017c8b3e20f39795c1bddb950bceeb4ce18716a3b5744260d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-21T21:08:32Z",
    "title_canon_sha256": "3061490f812ca9ca3105514cacd971aa5b6d93f5db65ff031da1be18b77218e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05903",
    "kind": "arxiv",
    "version": 2
  }
}