Pith Number

pith:FU67QUJ2

pith:2006:FU67QUJ26PSSERRHZAIG3M35M3

not attested not anchored not stored refs pending

Extending the scalars of minimizations

Eric Laugerotte (LIFAR EA2655), G\'erard Duchamp (LIPN), Jean-Gabriel Luque (IGM-LabInfo)

arxiv:math/0607411 v1 · 2006-07-18 · math.CO · cs.DS · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FU67QUJ26PSSERRHZAIG3M35M3}

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	2026-05-18T01:08:50.070227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d3df8513af3e5224627c8106db37d66c076abb77a60089514a29173b274b838

Aliases

arxiv: math/0607411 · arxiv_version: math/0607411v1 · doi: 10.48550/arxiv.math/0607411 · pith_short_12: FU67QUJ26PSS · pith_short_16: FU67QUJ26PSSERRH · pith_short_8: FU67QUJ2

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/FU67QUJ26PSSERRHZAIG3M35M3 \
  | 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: 2d3df8513af3e5224627c8106db37d66c076abb77a60089514a29173b274b838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f06f57b60f42e9ab2e430254324e942dc52c41a003f2fa90288d9c6770282671",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.SC"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-07-18T07:06:59Z",
    "title_canon_sha256": "af12c28d7a0dd4bf9fda485cd37e4681d01200fd31ceaa9fc5ab38ce079b8c29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607411",
    "kind": "arxiv",
    "version": 1
  }
}