Pith Number

pith:HEJ3ZBA2

pith:2010:HEJ3ZBA2ZF6SBGVWEG32BY3JTU

not attested not anchored not stored refs pending

The growth function of S-recognizable sets

Emilie Charlier, Narad Rampersad

arxiv:1101.0036 v1 · 2010-12-30 · cs.FL · cs.DM · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HEJ3ZBA2ZF6SBGVWEG32BY3JTU}

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	2026-05-18T04:32:11.177844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3913bc841ac97d209ab621b7a0e3699d3189b16b0aaa69b6748f7cc7e6d0ec41

Aliases

arxiv: 1101.0036 · arxiv_version: 1101.0036v1 · doi: 10.48550/arxiv.1101.0036 · pith_short_12: HEJ3ZBA2ZF6S · pith_short_16: HEJ3ZBA2ZF6SBGVW · pith_short_8: HEJ3ZBA2

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/HEJ3ZBA2ZF6SBGVWEG32BY3JTU \
  | 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: 3913bc841ac97d209ab621b7a0e3699d3189b16b0aaa69b6748f7cc7e6d0ec41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e82e5e2109ba31da6ceb533ecf15fead79ae0086bb6c65fcc9401b9dbc9f83",
    "cross_cats_sorted": [
      "cs.DM",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2010-12-30T05:06:11Z",
    "title_canon_sha256": "bb010c955166c2fd049bd92190e1838e5104a2be7f157963bf21710fbda901cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0036",
    "kind": "arxiv",
    "version": 1
  }
}