Pith Number

pith:H7HBMOET

pith:2012:H7HBMOET3X5DNVADZJ373ZGWP7

not attested not anchored not stored refs pending

Samplings and observables. Invariants of metric measure spaces

Gabor Elek

arxiv:1205.6936 v2 · 2012-05-31 · math.MG · 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{H7HBMOET3X5DNVADZJ373ZGWP7}

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	2026-05-18T03:50:25.006046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fce163893ddfa36d403ca77fde4d67febf9738882b5cb419a0c6c2ea3bdd23f

Aliases

arxiv: 1205.6936 · arxiv_version: 1205.6936v2 · doi: 10.48550/arxiv.1205.6936 · pith_short_12: H7HBMOET3X5D · pith_short_16: H7HBMOET3X5DNVAD · pith_short_8: H7HBMOET

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/H7HBMOET3X5DNVADZJ373ZGWP7 \
  | 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: 3fce163893ddfa36d403ca77fde4d67febf9738882b5cb419a0c6c2ea3bdd23f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7cc6bf484e4cae64d927a3bd90fe36b5f15f782afcac254141f42b15ae0c8f8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-05-31T09:45:13Z",
    "title_canon_sha256": "31e0bb7da8670dc5279333420e9b98b6002ececb12a31d0c006bc7564653c6cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6936",
    "kind": "arxiv",
    "version": 2
  }
}