Pith Number

pith:KVXNQDOV

pith:2011:KVXNQDOVC4KLOP7OOVXGX7ISTU

not attested not anchored not stored refs pending

\int_x^{hx}(g^*\alpha-\alpha)

Jarek K\k{e}dra, \'Swiatos{\l}aw R. Gal

arxiv:1105.0825 v2 · 2011-05-04 · math.GT · math.DS · 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{KVXNQDOVC4KLOP7OOVXGX7ISTU}

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	2026-05-18T04:11:39.544437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

556ed80dd51714b73fee756e6bfd129d02722bc9761a93ca7a197237fc893c90

Aliases

arxiv: 1105.0825 · arxiv_version: 1105.0825v2 · doi: 10.48550/arxiv.1105.0825 · pith_short_12: KVXNQDOVC4KL · pith_short_16: KVXNQDOVC4KLOP7O · pith_short_8: KVXNQDOV

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/KVXNQDOVC4KLOP7OOVXGX7ISTU \
  | 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: 556ed80dd51714b73fee756e6bfd129d02722bc9761a93ca7a197237fc893c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8d6f6977913967b7f68f607c9b1182508141cb12deaf4fb44cd238a48ac3ba2",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-04T13:45:32Z",
    "title_canon_sha256": "a1965770789c633cc3dd66a2dbb1bb3d961a1f53cd37c474e11dc8beadff3f53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0825",
    "kind": "arxiv",
    "version": 2
  }
}