Pith Number

pith:F7QONQYJ

pith:2014:F7QONQYJBS2LRK7EMZBEDI3MX2

not attested not anchored not stored refs pending

On the generic vanishing theorem of Cartier modules

Alan Marc Watson, Yuchen Zhang

arxiv:1404.2669 v1 · 2014-04-10 · 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{F7QONQYJBS2LRK7EMZBEDI3MX2}

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	2026-05-18T02:54:29.850822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fe0e6c3090cb4b8abe4664241a36cbe860fad49c40e772c68b5a1c8b90c77e3

Aliases

arxiv: 1404.2669 · arxiv_version: 1404.2669v1 · doi: 10.48550/arxiv.1404.2669 · pith_short_12: F7QONQYJBS2L · pith_short_16: F7QONQYJBS2LRK7E · pith_short_8: F7QONQYJ

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/F7QONQYJBS2LRK7EMZBEDI3MX2 \
  | 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: 2fe0e6c3090cb4b8abe4664241a36cbe860fad49c40e772c68b5a1c8b90c77e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9c2721d65c03e6ff48ec0b6732f06457cd3f31adb529ea5a44964fee52e1fe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-10T02:09:49Z",
    "title_canon_sha256": "88f3925181e5259be5b50b717f648904534fee0ea3ed51eeb522c30f45e69100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2669",
    "kind": "arxiv",
    "version": 1
  }
}