Pith Number

pith:2SVLIKBZ

pith:2013:2SVLIKBZXMQHDBF3OYQF5U2TQQ

not attested not anchored not stored refs pending

Coarse amenability and discreteness

Jerzy Dydak

arxiv:1307.3943 v2 · 2013-07-15 · math.MG · 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{2SVLIKBZXMQHDBF3OYQF5U2TQQ}

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	2026-05-18T01:23:40.410266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4aab42839bb207184bb76205ed35384091a6ce5a2e36997cfc59dacb7adb639

Aliases

arxiv: 1307.3943 · arxiv_version: 1307.3943v2 · doi: 10.48550/arxiv.1307.3943 · pith_short_12: 2SVLIKBZXMQH · pith_short_16: 2SVLIKBZXMQHDBF3 · pith_short_8: 2SVLIKBZ

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/2SVLIKBZXMQHDBF3OYQF5U2TQQ \
  | 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: d4aab42839bb207184bb76205ed35384091a6ce5a2e36997cfc59dacb7adb639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13e2f300d4444e20a465c13370eb3eb14fa49f6298152dd020fb4097506ee5f5",
    "cross_cats_sorted": [
      "math.GN",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-07-15T13:59:40Z",
    "title_canon_sha256": "30dea1b4ee62e038521ccdc7c059bc922d1ba6c65a35b35cbb71274ef1f255ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3943",
    "kind": "arxiv",
    "version": 2
  }
}