Pith Number

pith:2PXGYITI

pith:2008:2PXGYITIL2E5JNBZUMYB7VB6W6

not attested not anchored not stored refs pending

On extending actions of groups

Du\v{s}an Repov\v{s}, Sergei M. Ageev

arxiv:0803.4130 v3 · 2008-03-28 · math.GN · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PXGYITIL2E5JNBZUMYB7VB6W6}

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	2026-05-18T04:16:12.367909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3ee6c22685e89d4b439a3301fd43eb7adb8916c35c733466f64e289037d8c35

Aliases

arxiv: 0803.4130 · arxiv_version: 0803.4130v3 · doi: 10.48550/arxiv.0803.4130 · pith_short_12: 2PXGYITIL2E5 · pith_short_16: 2PXGYITIL2E5JNBZ · pith_short_8: 2PXGYITI

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/2PXGYITIL2E5JNBZUMYB7VB6W6 \
  | 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: d3ee6c22685e89d4b439a3301fd43eb7adb8916c35c733466f64e289037d8c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42bab6a404fc465a07b0b82c6095e501fadb977975d95a7574458285403f3d56",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2008-03-28T14:24:15Z",
    "title_canon_sha256": "1f4072f14faaa04825b36f1507cf50f44aa6ea636750f9a6290ad5a31f6c9817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.4130",
    "kind": "arxiv",
    "version": 3
  }
}