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Pith Number

pith:JDROUNNA

pith:2024:JDROUNNANV4BCDIHXA32E2FDUR
not attested not anchored not stored refs pending

A direct proof of well-definedness for the polymatroid Tutte polynomial

Xian'an Jin, Xiaxia Guan

arxiv:2403.05825 v2 · 2024-03-09 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JDROUNNANV4BCDIHXA32E2FDUR}

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 2026-06-23T02:13:58.234374Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

48e2ea35a06d78110d07b837a268a3a44e4df0013e7b3404c09a11e5687fa1f1

Aliases

arxiv: 2403.05825 · arxiv_version: 2403.05825v2 · doi: 10.48550/arxiv.2403.05825 · pith_short_12: JDROUNNANV4B · pith_short_16: JDROUNNANV4BCDIH · pith_short_8: JDROUNNA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JDROUNNANV4BCDIHXA32E2FDUR \
  | 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: 48e2ea35a06d78110d07b837a268a3a44e4df0013e7b3404c09a11e5687fa1f1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f69a2d92efbf9af7047b7051f6d23fbbdab4fa4baf6202b7d56a274a54e8d69e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-03-09T07:25:51Z",
    "title_canon_sha256": "ccd233027fed9df6ad39faf7db7a03c37ed8f1869fd690ffd814eaec8e343100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.05825",
    "kind": "arxiv",
    "version": 2
  }
}