Pith Number

pith:XNNZEWO6

pith:2023:XNNZEWO6PSNXX5XRJNX6YH2PQQ

not attested not anchored not stored refs pending

A deletion-contraction formula and monotonicity properties for the polymatroid Tutte polynomial

Tam\'as K\'alm\'an, Xian'an Jin, Xiaxia Guan

arxiv:2309.13639 v2 · 2023-09-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNNZEWO6PSNXX5XRJNX6YH2PQQ}

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	2026-06-23T02:13:58.217919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb5b9259de7c9b7bf6f14b6fec1f4f8408e006f29645e447984164fa7672310f

Aliases

arxiv: 2309.13639 · arxiv_version: 2309.13639v2 · doi: 10.48550/arxiv.2309.13639 · pith_short_12: XNNZEWO6PSNX · pith_short_16: XNNZEWO6PSNXX5XR · pith_short_8: XNNZEWO6

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/XNNZEWO6PSNXX5XRJNX6YH2PQQ \
  | 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: bb5b9259de7c9b7bf6f14b6fec1f4f8408e006f29645e447984164fa7672310f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c2d47236b6814185545d7123e2bae1fc3a06cfba0edfe773fb2a5e5c552cd4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-24T13:43:24Z",
    "title_canon_sha256": "06d20990ad27c904250d39f6f292dc5f568312309f3d904294e31b5863171d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.13639",
    "kind": "arxiv",
    "version": 2
  }
}