Pith Number

pith:SVTJIUZW

pith:2003:SVTJIUZWW52E5AFDJZFTPDVC3K

not attested not anchored not stored refs pending

On identities in groups of fractions of cancellative semigroups

A.M. Storozhev, S.V. Ivanov

arxiv:math/0312493 v1 · 2003-12-29 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SVTJIUZWW52E5AFDJZFTPDVC3K}

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	2026-07-04T14:38:07.691523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9566945336b7744e80a34e4b378ea2da85a834189869a364f975ee717729e916

Aliases

arxiv: math/0312493 · arxiv_version: math/0312493v1 · doi: 10.48550/arxiv.math/0312493 · pith_short_12: SVTJIUZWW52E · pith_short_16: SVTJIUZWW52E5AFD · pith_short_8: SVTJIUZW

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/SVTJIUZWW52E5AFDJZFTPDVC3K \
  | 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: 9566945336b7744e80a34e4b378ea2da85a834189869a364f975ee717729e916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "322465e6dcecb38d15f55a5c2c0908683d188150c4bddc38cd425db049d2f6f0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-12-29T21:20:34Z",
    "title_canon_sha256": "e22edcbec25f47e45131c2e6aa82c65291da9adb7b6f9674f86ca7bbf0ea46f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312493",
    "kind": "arxiv",
    "version": 1
  }
}