Pith Number

pith:T3PJ4DHD

pith:2014:T3PJ4DHDPMEZHMRYFGVJN2VY6Y

not attested not anchored not stored refs pending

Planar infinite groups

Ahmad Erfanian, Mehdi Rajabian, Mohammad Farrokhi Derakhshandeh Ghouchan

arxiv:1403.0331 v1 · 2014-03-03 · 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{T3PJ4DHDPMEZHMRYFGVJN2VY6Y}

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	2026-05-18T02:57:25.168029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ede9e0ce37b0993b23829aa96eab8f610783919cfd5e9562893321119e9496e

Aliases

arxiv: 1403.0331 · arxiv_version: 1403.0331v1 · doi: 10.48550/arxiv.1403.0331 · pith_short_12: T3PJ4DHDPMEZ · pith_short_16: T3PJ4DHDPMEZHMRY · pith_short_8: T3PJ4DHD

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/T3PJ4DHDPMEZHMRYFGVJN2VY6Y \
  | 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: 9ede9e0ce37b0993b23829aa96eab8f610783919cfd5e9562893321119e9496e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a07de6abe754e12921f5c341253978d867b7f08ffb5296bd9c4b7859fbfdb40f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-03T07:44:31Z",
    "title_canon_sha256": "ce27c66ff69e93e37f780b5410dbe8d3759dbe8433185edf03ef575afe97ab54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0331",
    "kind": "arxiv",
    "version": 1
  }
}