Pith Number

pith:BLLBRWAU

pith:2016:BLLBRWAUGNKKJ32UPCCPDT6KRD

not attested not anchored not stored refs pending

Root polytopes, Tutte polynomials, and a duality theorem for bipartite graphs

Alexander Postnikov, Tam\'as K\'alm\'an

arxiv:1602.04449 v1 · 2016-02-14 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLLBRWAUGNKKJ32UPCCPDT6KRD}

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	2026-05-18T00:45:08.423062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad618d8143354a4ef547884f1cfca88e89a60dbbd2ddad769412cb59feed24a

Aliases

arxiv: 1602.04449 · arxiv_version: 1602.04449v1 · doi: 10.48550/arxiv.1602.04449 · pith_short_12: BLLBRWAUGNKK · pith_short_16: BLLBRWAUGNKKJ32U · pith_short_8: BLLBRWAU

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/BLLBRWAUGNKKJ32UPCCPDT6KRD \
  | 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: 0ad618d8143354a4ef547884f1cfca88e89a60dbbd2ddad769412cb59feed24a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a0bf377d71343fbd2f24f612a06b31bd06744a7f62587d38bbc901da5e5c99",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-14T13:16:21Z",
    "title_canon_sha256": "a80e04a81a9e5b65e1bf4ee44c91fb7952e6239bf58871ae0ad8a1ca28a5a510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04449",
    "kind": "arxiv",
    "version": 1
  }
}