Pith Number

pith:ZPBJXDMY

pith:2013:ZPBJXDMYT6ZTQYVQSOSTTVW6EA

not attested not anchored not stored refs pending

Componentwise regularity (I)

Giulio Caviglia, Matteo Varbaro

arxiv:1308.2034 v2 · 2013-08-09 · 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{ZPBJXDMYT6ZTQYVQSOSTTVW6EA}

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	2026-05-18T03:14:51.701342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc29b8d989fb33862b093a539d6de200be57b23c59e68dc12984969ff7ca424

Aliases

arxiv: 1308.2034 · arxiv_version: 1308.2034v2 · doi: 10.48550/arxiv.1308.2034 · pith_short_12: ZPBJXDMYT6ZT · pith_short_16: ZPBJXDMYT6ZTQYVQ · pith_short_8: ZPBJXDMY

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/ZPBJXDMYT6ZTQYVQSOSTTVW6EA \
  | 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: cbc29b8d989fb33862b093a539d6de200be57b23c59e68dc12984969ff7ca424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db60628b94367e837a2755adba01586cd48c76931ca6d30ff5a6724cf76a2ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-09T05:38:04Z",
    "title_canon_sha256": "05635b3939e7406da8d275afcb3d758b4e75f430595709eba369214ff0c71455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2034",
    "kind": "arxiv",
    "version": 2
  }
}