Pith Number

pith:WZCHITMM

pith:2003:WZCHITMM6G5Y7GSSJNKDEWH4CK

not attested not anchored not stored refs pending

The Stable Equivalence and Cancellation Problems

Jie-Tai Yu, Leonid Makar-Limanov, Peter van Rossum, Vladimir Shpilrain

arxiv:math/0310060 v1 · 2003-10-05 · math.AG · 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{WZCHITMM6G5Y7GSSJNKDEWH4CK}

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	2026-05-18T01:05:28.593056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b644744d8cf1bb8f9a524b543258fc129092bd6c6d33c1cc9733b3dc2a940532

Aliases

arxiv: math/0310060 · arxiv_version: math/0310060v1 · doi: 10.48550/arxiv.math/0310060 · pith_short_12: WZCHITMM6G5Y · pith_short_16: WZCHITMM6G5Y7GSS · pith_short_8: WZCHITMM

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/WZCHITMM6G5Y7GSSJNKDEWH4CK \
  | 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: b644744d8cf1bb8f9a524b543258fc129092bd6c6d33c1cc9733b3dc2a940532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737d1da5c7cee3ad63008250d7967e9259533815ceef6009818465f231eed919",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-10-05T19:17:59Z",
    "title_canon_sha256": "c02c7c9047dfa980b656fa6c4d9a1482cdc644a88f1d4e0a3b5aacbf04b129c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310060",
    "kind": "arxiv",
    "version": 1
  }
}