Pith Number

pith:SEF4HTZH

pith:2011:SEF4HTZHSY6MRZRUD2M27Z4TCT

not attested not anchored not stored refs pending

Multidimensional extension of the Morse--Hedlund theorem

Fabien Durand (LAMFA), Michel Rigo

arxiv:1109.5801 v2 · 2011-09-27 · math.CO · cs.DM · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SEF4HTZHSY6MRZRUD2M27Z4TCT}

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	2026-05-18T03:49:32.871585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

910bc3cf27963cc8e6341e99afe79314f96766311743191117a0c7720cce2adb

Aliases

arxiv: 1109.5801 · arxiv_version: 1109.5801v2 · doi: 10.48550/arxiv.1109.5801 · pith_short_12: SEF4HTZHSY6M · pith_short_16: SEF4HTZHSY6MRZRU · pith_short_8: SEF4HTZH

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/SEF4HTZHSY6MRZRUD2M27Z4TCT \
  | 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: 910bc3cf27963cc8e6341e99afe79314f96766311743191117a0c7720cce2adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6c25ac560a7730ac455dbd93544029a79e748c0c3fbd336f0dd2b8627823c03",
    "cross_cats_sorted": [
      "cs.DM",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-27T08:23:37Z",
    "title_canon_sha256": "86525009391d306faef6d791afafeba19c72138b62d558e777e0542d5f016c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5801",
    "kind": "arxiv",
    "version": 2
  }
}