Pith Number

pith:PEQ6DMB3

pith:2013:PEQ6DMB3VKWLJRDD7OBPF7YKVV

not attested not anchored not stored refs pending

Addition Chains Meet Postage Stamps: Reducing the Number of Multiplications

Jukka Corander, Jukka Kohonen

arxiv:1310.7090 v2 · 2013-10-26 · math.NT · 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{PEQ6DMB3VKWLJRDD7OBPF7YKVV}

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	2026-05-18T00:04:14.071464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7921e1b03baaacb4c463fb82f2ff0aad565de4d23b149220402d237c04cb1cf6

Aliases

arxiv: 1310.7090 · arxiv_version: 1310.7090v2 · doi: 10.48550/arxiv.1310.7090 · pith_short_12: PEQ6DMB3VKWL · pith_short_16: PEQ6DMB3VKWLJRDD · pith_short_8: PEQ6DMB3

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/PEQ6DMB3VKWLJRDD7OBPF7YKVV \
  | 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: 7921e1b03baaacb4c463fb82f2ff0aad565de4d23b149220402d237c04cb1cf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98424e4dfffc28cbc31e932f8b490627713ee6e231ca0fc90a48d4c662774a15",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-26T09:45:38Z",
    "title_canon_sha256": "a9f78d0fc528b8a7cfc07e73ebf61c93c3cb9df1fb9523c1c26017a84d5451e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7090",
    "kind": "arxiv",
    "version": 2
  }
}