Pith Number

pith:FJMTTYGM

pith:2015:FJMTTYGMEAW6X5PEMHAYOHBSMM

not attested not anchored not stored refs pending

Faster 64-bit universal hashing using carry-less multiplications

Daniel Lemire, Owen Kaser

arxiv:1503.03465 v8 · 2015-03-11 · cs.DS · cs.PF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJMTTYGMEAW6X5PEMHAYOHBSMM}

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	2026-05-18T00:54:42.819295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5939e0cc202debf5e461c1871c32631e72c77243c512e35375c9f3c09a4406

Aliases

arxiv: 1503.03465 · arxiv_version: 1503.03465v8 · doi: 10.48550/arxiv.1503.03465 · pith_short_12: FJMTTYGMEAW6 · pith_short_16: FJMTTYGMEAW6X5PE · pith_short_8: FJMTTYGM

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/FJMTTYGMEAW6X5PEMHAYOHBSMM \
  | 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: 2a5939e0cc202debf5e461c1871c32631e72c77243c512e35375c9f3c09a4406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff1f5ed820d4b2625b363583d1482803bc93deb06abf401a4827d5778942788c",
    "cross_cats_sorted": [
      "cs.PF"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-03-11T19:47:09Z",
    "title_canon_sha256": "0bbbd6bb18505032f6f0345f4e1e3bd79a0e399016ae9c555c075f3d2f304f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03465",
    "kind": "arxiv",
    "version": 8
  }
}