Pith Number

pith:ZBYYC372

pith:2014:ZBYYC372VRFFJUXGLSUUTQ4BUP

not attested not anchored not stored refs pending

Betti number estimates in p-adic cohomology

Daniel Caro

arxiv:1411.2933 v3 · 2014-11-11 · 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{ZBYYC372VRFFJUXGLSUUTQ4BUP}

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	2026-05-18T00:51:28.754420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c871816ffaac4a54d2e65ca949c381a3d0332c6e777686c4630715f408e28cb0

Aliases

arxiv: 1411.2933 · arxiv_version: 1411.2933v3 · doi: 10.48550/arxiv.1411.2933 · pith_short_12: ZBYYC372VRFF · pith_short_16: ZBYYC372VRFFJUXG · pith_short_8: ZBYYC372

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/ZBYYC372VRFFJUXGLSUUTQ4BUP \
  | 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: c871816ffaac4a54d2e65ca949c381a3d0332c6e777686c4630715f408e28cb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdb43b0fb0ca83de04ef84748cc2a15529c223a8f9da067418221a83f585ceb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-11T19:29:16Z",
    "title_canon_sha256": "60617b710c2821c79389e819da4c209bb897484ae344dcc832a9d95dd3f01548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2933",
    "kind": "arxiv",
    "version": 3
  }
}