Pith Number

pith:QEKZB3YS

pith:2014:QEKZB3YSI6KNAXS3JJLCEBILR3

not attested not anchored not stored refs pending

A tropical Krull-Schmidt theorem

Louis Rowen, Tal Perri

arxiv:1408.4757 v1 · 2014-08-20 · 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{QEKZB3YSI6KNAXS3JJLCEBILR3}

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	2026-05-18T02:44:48.138836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

811590ef124794d05e5b4a5622050b8ecc2efc330ae382f1b10356b02286cfb9

Aliases

arxiv: 1408.4757 · arxiv_version: 1408.4757v1 · doi: 10.48550/arxiv.1408.4757 · pith_short_12: QEKZB3YSI6KN · pith_short_16: QEKZB3YSI6KNAXS3 · pith_short_8: QEKZB3YS

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/QEKZB3YSI6KNAXS3JJLCEBILR3 \
  | 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: 811590ef124794d05e5b4a5622050b8ecc2efc330ae382f1b10356b02286cfb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03447e44e57bf9807cdff417d69dcfa5f167acc68d332e9fe2c2724999c90db6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-20T18:52:42Z",
    "title_canon_sha256": "37a40abe62b62376fcc95b5537e9f930a4416908692674265136038849b374db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4757",
    "kind": "arxiv",
    "version": 1
  }
}