Pith Number

pith:DO7GAA4T

pith:1994:DO7GAA4TW364X7NJOQJZIF372B

not attested not anchored not stored refs pending

Universal abelian groups

Menachem Kojman, Saharon Shelah

arxiv:math/9409207 v1 · 1994-09-17 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DO7GAA4TW364X7NJOQJZIF372B}

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	2026-05-18T01:05:51.146833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bbe600393b6fdcbfda9741394177fd04bde5817d589b359dcb95e6b55a63d09

Aliases

arxiv: math/9409207 · arxiv_version: math/9409207v1 · doi: 10.48550/arxiv.math/9409207 · pith_short_12: DO7GAA4TW364 · pith_short_16: DO7GAA4TW364X7NJ · pith_short_8: DO7GAA4T

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/DO7GAA4TW364X7NJOQJZIF372B \
  | 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: 1bbe600393b6fdcbfda9741394177fd04bde5817d589b359dcb95e6b55a63d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c98313c049dc69fc118ce05dc93d0155580c9db3b1c4779bb63e60e9948d9a28",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1994-09-17T00:00:00Z",
    "title_canon_sha256": "ecf82c3badc5b53acd853d66ea0e9f54a1539e87e598aeb478c4120f984698f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9409207",
    "kind": "arxiv",
    "version": 1
  }
}