Pith Number

pith:22HPYDMI

pith:2011:22HPYDMIYGKPT6LCCBEIPUHSPK

not attested not anchored not stored refs pending

A Pattern Sequence Approach to Stern's Sequence

Jeffrey Shallit, Michael Coons

arxiv:1105.0086 v2 · 2011-04-30 · math.NT · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22HPYDMIYGKPT6LCCBEIPUHSPK}

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	2026-05-18T04:18:44.444519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d68efc0d88c194f9f962104887d0f27a8dfddf8e32c1c6e06e072870821b91a8

Aliases

arxiv: 1105.0086 · arxiv_version: 1105.0086v2 · doi: 10.48550/arxiv.1105.0086 · pith_short_12: 22HPYDMIYGKP · pith_short_16: 22HPYDMIYGKPT6LC · pith_short_8: 22HPYDMI

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/22HPYDMIYGKPT6LCCBEIPUHSPK \
  | 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: d68efc0d88c194f9f962104887d0f27a8dfddf8e32c1c6e06e072870821b91a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16be1014c94dd56ca3c94aea77f9b2438d16b2bb80ad8c06b16aba5fb3ce6f93",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-30T13:18:09Z",
    "title_canon_sha256": "cbf09deba98d0f49f4439c705fdaefee90e3e76b046f14e0d35dad713b356e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0086",
    "kind": "arxiv",
    "version": 2
  }
}