Pith Number

pith:XH3FEVFL

pith:2007:XH3FEVFLJ5FYKNG7RNPCWBBFMJ

not attested not anchored not stored refs pending

On convex sets associated with permutations, cuts, and certain metrics

Dirk Oliver Theis, Hanna Seitz

arxiv:math/0702557 v6 · 2007-02-19 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XH3FEVFLJ5FYKNG7RNPCWBBFMJ}

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	2026-05-18T04:08:52.885425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f65254ab4f4b8534df8b5e2b0425627beb4434b9a5e203a2c4ee6c42083d59

Aliases

arxiv: math/0702557 · arxiv_version: math/0702557v6 · doi: 10.48550/arxiv.math/0702557 · pith_short_12: XH3FEVFLJ5FY · pith_short_16: XH3FEVFLJ5FYKNG7 · pith_short_8: XH3FEVFL

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/XH3FEVFLJ5FYKNG7RNPCWBBFMJ \
  | 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: b9f65254ab4f4b8534df8b5e2b0425627beb4434b9a5e203a2c4ee6c42083d59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f772a096f8f16c409cf989df3e76f00c5ab0da0bc6f253c5d68f03a325bfe401",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-02-19T17:43:04Z",
    "title_canon_sha256": "fc7df24e8d4d25ae965f405abbec9cf016d3fbeb10c6ddf7b903145363df528c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702557",
    "kind": "arxiv",
    "version": 6
  }
}