Pith Number

pith:AZ2FEKEJ

pith:2013:AZ2FEKEJX3IWLXAGL3J7EVRTHR

not attested not anchored not stored refs pending

A note on configurations in sets of positive density which occur at all large scales

Ian D. Morris

arxiv:1301.4209 v1 · 2013-01-17 · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZ2FEKEJX3IWLXAGL3J7EVRTHR}

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	2026-05-18T03:36:06.909547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0674522889bed165dc065ed3f256333c6c00c0e5522bb0e8955134b7cdd73a27

Aliases

arxiv: 1301.4209 · arxiv_version: 1301.4209v1 · doi: 10.48550/arxiv.1301.4209 · pith_short_12: AZ2FEKEJX3IW · pith_short_16: AZ2FEKEJX3IWLXAG · pith_short_8: AZ2FEKEJ

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/AZ2FEKEJX3IWLXAGL3J7EVRTHR \
  | 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: 0674522889bed165dc065ed3f256333c6c00c0e5522bb0e8955134b7cdd73a27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7725e0bfd87aaabb5c6f718af39dacbef56b07a4a5c40022ca178c2cce4484c7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-17T20:32:35Z",
    "title_canon_sha256": "297604236073d230a462d826807ebb83e7eb90f5a05a90dae869a5bf344f1102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4209",
    "kind": "arxiv",
    "version": 1
  }
}