Pith Number

pith:TZO4ZP6X

pith:2005:TZO4ZP6XPI3UVSQ62IZ7SGJZ2M

not attested not anchored not stored refs pending

Free multiflows in bidirected and skew-symmetric graphs

A.V. Karzanov, M.A. Babenko

arxiv:math/0510463 v1 · 2005-10-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZO4ZP6XPI3UVSQ62IZ7SGJZ2M}

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	2026-05-18T04:35:57.844031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5dccbfd77a374aca1ed233f91939d31ffaa3da266336a83da391482cf6f702

Aliases

arxiv: math/0510463 · arxiv_version: math/0510463v1 · doi: 10.48550/arxiv.math/0510463 · pith_short_12: TZO4ZP6XPI3U · pith_short_16: TZO4ZP6XPI3UVSQ6 · pith_short_8: TZO4ZP6X

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/TZO4ZP6XPI3UVSQ62IZ7SGJZ2M \
  | 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: 9e5dccbfd77a374aca1ed233f91939d31ffaa3da266336a83da391482cf6f702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b46b6477c1077c002e2211925d7a35ae220ff77ecf501777473ba7fc8ed2f6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-10-21T13:46:39Z",
    "title_canon_sha256": "3b8ee1a669ed089381c3a6e775b904dbd93df4b90f20b3249d1a3006c93dd329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510463",
    "kind": "arxiv",
    "version": 1
  }
}