Pith Number

pith:LCOB4P37

pith:2018:LCOB4P372B2RTE3XV5NLXDATVM

not attested not anchored not stored refs pending

Multiplicity bounds in prime characteristic

Mordechai Katzman, Wenliang Zhang

arxiv:1804.11288 v2 · 2018-04-30 · 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{LCOB4P372B2RTE3XV5NLXDATVM}

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	2026-05-18T00:08:20.772751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

589c1e3f7fd075199377af5abb8c13ab2db5193c02a3180324c839527400778a

Aliases

arxiv: 1804.11288 · arxiv_version: 1804.11288v2 · doi: 10.48550/arxiv.1804.11288 · pith_short_12: LCOB4P372B2R · pith_short_16: LCOB4P372B2RTE3X · pith_short_8: LCOB4P37

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/LCOB4P372B2RTE3XV5NLXDATVM \
  | 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: 589c1e3f7fd075199377af5abb8c13ab2db5193c02a3180324c839527400778a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82c7d52eb3d931b618c5af886e585f4f90d688e76230291f61499e96b4ef6cd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-04-30T16:04:42Z",
    "title_canon_sha256": "7b62aecbc3b954185967c0f82c3570cb7b61e61d7ff90f1cf55c93912c5f14d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.11288",
    "kind": "arxiv",
    "version": 2
  }
}