Pith Number

pith:6MZPY4XP

pith:2010:6MZPY4XPABAMFEEJSO6ABVY634

not attested not anchored not stored refs pending

The great trinomial hunt

Paul Zimmermann, Richard P. Brent

arxiv:1005.1967 v1 · 2010-05-11 · math.NT · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MZPY4XPABAMFEEJSO6ABVY634}

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	2026-05-18T04:24:54.608411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f332fc72ef0040c2908993bc00d71edf198f96e2068594e460878ef71a3db3b6

Aliases

arxiv: 1005.1967 · arxiv_version: 1005.1967v1 · doi: 10.48550/arxiv.1005.1967 · pith_short_12: 6MZPY4XPABAM · pith_short_16: 6MZPY4XPABAMFEEJ · pith_short_8: 6MZPY4XP

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/6MZPY4XPABAMFEEJSO6ABVY634 \
  | 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: f332fc72ef0040c2908993bc00d71edf198f96e2068594e460878ef71a3db3b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1e95fa1959e55a239fd7b95e7e13989c968aaa530698e81d5f0e9b0308a62bd",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-11T23:14:30Z",
    "title_canon_sha256": "4f00f96904ab8133c14b396bfba77055b89dcf7aa0883d049c1f73890fba385b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1967",
    "kind": "arxiv",
    "version": 1
  }
}