Pith Number

pith:5J3JEZB7

pith:2008:5J3JEZB72GXOPMRFMSW4SKRVN3

not attested not anchored not stored refs pending

Carry Propagation in Multiplication by Constants

Alice Izsak, Nicholas Pippenger

arxiv:0801.4040 v2 · 2008-01-25 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5J3JEZB72GXOPMRFMSW4SKRVN3}

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	2026-05-18T01:19:35.590288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7692643fd1aee7b22564adc92a356ee3f56ffc8b519ca653c97f3f6ddc0064

Aliases

arxiv: 0801.4040 · arxiv_version: 0801.4040v2 · doi: 10.48550/arxiv.0801.4040 · pith_short_12: 5J3JEZB72GXO · pith_short_16: 5J3JEZB72GXOPMRF · pith_short_8: 5J3JEZB7

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/5J3JEZB72GXOPMRFMSW4SKRVN3 \
  | 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: ea7692643fd1aee7b22564adc92a356ee3f56ffc8b519ca653c97f3f6ddc0064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be3285988781ec54850d92879c3c5def383bd814208c0e824730e15b2395d6ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-01-25T22:31:41Z",
    "title_canon_sha256": "358b5e4fa84f8461080f576f316f94b04f96f851887fae6b4bd0ae8242a5f8e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4040",
    "kind": "arxiv",
    "version": 2
  }
}