Pith Number

pith:WVCSV6CC

pith:2011:WVCSV6CC2ANW7YUEGXWBVVVRAW

not attested not anchored not stored refs pending

The Space of Actions, Partition Metric and Combinatorial Rigidity

Gabor Elek, Miklos Abert

arxiv:1108.2147 v2 · 2011-08-10 · math.FA · 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{WVCSV6CC2ANW7YUEGXWBVVVRAW}

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	2026-07-05T10:31:36.822641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5452af842d01b6fe28435ec1ad6b10596c0b6cf3eaee0205951ddca19ba89c9

Aliases

arxiv: 1108.2147 · arxiv_version: 1108.2147v2 · doi: 10.48550/arxiv.1108.2147 · pith_short_12: WVCSV6CC2ANW · pith_short_16: WVCSV6CC2ANW7YUE · pith_short_8: WVCSV6CC

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/WVCSV6CC2ANW7YUEGXWBVVVRAW \
  | 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: b5452af842d01b6fe28435ec1ad6b10596c0b6cf3eaee0205951ddca19ba89c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f1ba19cd027de6e632923c6038c576c4bb9b24ccef572437e9caef4ad598ba",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-10T10:45:52Z",
    "title_canon_sha256": "aff4b2ce75119b25bc86b89b52d037a5d6e5ca2918100660c8251bb09b285e34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2147",
    "kind": "arxiv",
    "version": 2
  }
}