Pith Number

pith:4YHTLPVH

pith:2003:4YHTLPVHUHLNKEPTIO4RT47X2A

not attested not anchored not stored refs pending

Finding the "truncated" polynomial that is closest to a function

Jean-Michel Muller, Nicolas Brisebarre

arxiv:cs/0307009 v1 · 2003-07-04 · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YHTLPVHUHLNKEPTIO4RT47X2A}

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	2026-07-04T14:24:35.082230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60f35bea7a1d6d511f343b919f3f7d03e5c28374cb1bff62eaf9b3b9c6b09c2

Aliases

arxiv: cs/0307009 · arxiv_version: cs/0307009v1 · doi: 10.48550/arxiv.cs/0307009 · pith_short_12: 4YHTLPVHUHLN · pith_short_16: 4YHTLPVHUHLNKEPT · pith_short_8: 4YHTLPVH

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/4YHTLPVHUHLNKEPTIO4RT47X2A \
  | 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: e60f35bea7a1d6d511f343b919f3f7d03e5c28374cb1bff62eaf9b3b9c6b09c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f20decb37e878ce26f7134cbc0df1f4dba47e63d6a541d9e7b9790c8d35dcca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.MS",
    "submitted_at": "2003-07-04T13:15:09Z",
    "title_canon_sha256": "e7576933a8f0baa57e7673aac92d0c226c670abcc01d94057ed61309cce5f433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0307009",
    "kind": "arxiv",
    "version": 1
  }
}