Pith Number

pith:S7TDCBM2

pith:2011:S7TDCBM2O2KAMVF3YT6RCDESUI

not attested not anchored not stored refs pending

Characterization of cyclic Schur groups

Ilya Ponomarenko, Istv\'an Kov\'acs, Sergei Evdokimov

arxiv:1111.5216 v2 · 2011-11-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7TDCBM2O2KAMVF3YT6RCDESUI}

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	2026-05-18T02:16:51.583939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e631059a76940654bbc4fd110c92a2210d22a4a312e8dc28c0f31bb7234a0e

Aliases

arxiv: 1111.5216 · arxiv_version: 1111.5216v2 · doi: 10.48550/arxiv.1111.5216 · pith_short_12: S7TDCBM2O2KA · pith_short_16: S7TDCBM2O2KAMVF3 · pith_short_8: S7TDCBM2

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/S7TDCBM2O2KAMVF3YT6RCDESUI \
  | 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: 97e631059a76940654bbc4fd110c92a2210d22a4a312e8dc28c0f31bb7234a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "849f087861d4ec432d3201fbb0e53e509b5de6550548bea1f3be1c971eac3683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-22T15:15:19Z",
    "title_canon_sha256": "7274548d0e44f0aec76f8a8e7e4d2e7f7839fb846142fbdec9420b26e6ca8907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5216",
    "kind": "arxiv",
    "version": 2
  }
}