Pith Number

pith:MAIF7ACC

pith:2014:MAIF7ACCDLMVWF65VF7GHEUHPJ

not attested not anchored not stored refs pending

An extension of a theorem of Hartshorne

Gennady Lyubeznik, Mordechai Katzman, Wenliang Zhang

arxiv:1408.0858 v2 · 2014-08-05 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MAIF7ACCDLMVWF65VF7GHEUHPJ}

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	2026-05-18T02:40:53.768418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60105f80421ad95b17dda97e6392877a5e678a106f51b19f6463db19c6090b90

Aliases

arxiv: 1408.0858 · arxiv_version: 1408.0858v2 · doi: 10.48550/arxiv.1408.0858 · pith_short_12: MAIF7ACCDLMV · pith_short_16: MAIF7ACCDLMVWF65 · pith_short_8: MAIF7ACC

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/MAIF7ACCDLMVWF65VF7GHEUHPJ \
  | 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: 60105f80421ad95b17dda97e6392877a5e678a106f51b19f6463db19c6090b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01a4e4297d3ffcdfee2b72d3e93c9bab3008e611627f1f85f63507cd533d146",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-08-05T03:49:17Z",
    "title_canon_sha256": "945628bac13b7439d8528044fe32337a5b7880eadcae04b3179e72b314ae48d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0858",
    "kind": "arxiv",
    "version": 2
  }
}