Pith Number

pith:S43FE5AM

pith:2013:S43FE5AMMWQVU2MAE3IOCZKQ3A

not attested not anchored not stored refs pending

Integer Complexity and Well-Ordering

Harry Altman

arxiv:1310.2894 v2 · 2013-10-10 · 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{S43FE5AMMWQVU2MAE3IOCZKQ3A}

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	2026-05-18T00:40:24.687963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973652740c65a15a698026d0e16550d8397c69ea3fe1c6a9ef3c94d3ca2a2772

Aliases

arxiv: 1310.2894 · arxiv_version: 1310.2894v2 · doi: 10.48550/arxiv.1310.2894 · pith_short_12: S43FE5AMMWQV · pith_short_16: S43FE5AMMWQVU2MA · pith_short_8: S43FE5AM

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/S43FE5AMMWQVU2MAE3IOCZKQ3A \
  | 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: 973652740c65a15a698026d0e16550d8397c69ea3fe1c6a9ef3c94d3ca2a2772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "374750579c77aa3cc2aae7ce524315c937c24709740d51a9892fd9ba607f6923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-10T17:33:14Z",
    "title_canon_sha256": "f8c5a3844834740676242eed37530ff5b187aaf8f251ac38f694fb852637d742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2894",
    "kind": "arxiv",
    "version": 2
  }
}