Pith Number

pith:CQJA62AN

pith:2017:CQJA62ANKXIRQVQPH6VUVWPDNX

not attested not anchored not stored refs pending

Multigraded linear series and recollement

Alastair Craw, Joseph Karmazyn, Yukari Ito

arxiv:1701.01679 v4 · 2017-01-06 · 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{CQJA62ANKXIRQVQPH6VUVWPDNX}

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	2026-05-18T00:33:06.894297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14120f680d55d118560f3fab4ad9e36dc318703faee6b4f685c9a7afb7110ce9

Aliases

arxiv: 1701.01679 · arxiv_version: 1701.01679v4 · doi: 10.48550/arxiv.1701.01679 · pith_short_12: CQJA62ANKXIR · pith_short_16: CQJA62ANKXIRQVQP · pith_short_8: CQJA62AN

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/CQJA62ANKXIRQVQPH6VUVWPDNX \
  | 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: 14120f680d55d118560f3fab4ad9e36dc318703faee6b4f685c9a7afb7110ce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfa4dae5b18999a0ba1232246a5965ba5ea6f6cffbd925ee8e4e09af32030f39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-06T16:11:21Z",
    "title_canon_sha256": "518adbd23e854f5743c457073e8b58aae766287d24722e4d50c8e5598ce67fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01679",
    "kind": "arxiv",
    "version": 4
  }
}