Pith Number

pith:NQZTOJ2H

pith:2011:NQZTOJ2HRA6PIVX7ZPUBMUR4CK

not attested not anchored not stored refs pending

Dichotomy of the addition of natural numbers

Jean-Louis Loday

arxiv:1108.6238 v1 · 2011-08-31 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQZTOJ2HRA6PIVX7ZPUBMUR4CK}

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	2026-05-18T04:14:26.730671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c33372747883cf456ffcbe816523c129038ea7f635f53412363d13def35149f

Aliases

arxiv: 1108.6238 · arxiv_version: 1108.6238v1 · doi: 10.48550/arxiv.1108.6238 · pith_short_12: NQZTOJ2HRA6P · pith_short_16: NQZTOJ2HRA6PIVX7 · pith_short_8: NQZTOJ2H

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/NQZTOJ2HRA6PIVX7ZPUBMUR4CK \
  | 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: 6c33372747883cf456ffcbe816523c129038ea7f635f53412363d13def35149f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "628756b4d22db1405dd13a9c61ec9ce85b29736d43c9e349b9584cfc43da5d74",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-08-31T14:26:13Z",
    "title_canon_sha256": "a49f1e41f8cc3d7772cf9145c694145f53c8cb98da7162eb9fd5dc63b5d70f54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6238",
    "kind": "arxiv",
    "version": 1
  }
}