Pith Number

pith:LUMLIHXW

pith:2014:LUMLIHXWJIOYTCIS7FHIKRYZ6G

not attested not anchored not stored refs pending

Discrete Polymatroids satisfying a stronger symmetric exchange property

Dancheng Lu

arxiv:1412.4496 v4 · 2014-12-15 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUMLIHXWJIOYTCIS7FHIKRYZ6G}

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	2026-05-18T00:49:08.749712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d18b41ef64a1d898912f94e854719f1965ba9438a6d01d0a9358dea4c3e5bdf

Aliases

arxiv: 1412.4496 · arxiv_version: 1412.4496v4 · doi: 10.48550/arxiv.1412.4496 · pith_short_12: LUMLIHXWJIOY · pith_short_16: LUMLIHXWJIOYTCIS · pith_short_8: LUMLIHXW

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/LUMLIHXWJIOYTCIS7FHIKRYZ6G \
  | 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: 5d18b41ef64a1d898912f94e854719f1965ba9438a6d01d0a9358dea4c3e5bdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a2f6b2a1f5ce7ff0fbfcc71569c747fe5e8ace3ed1a7e9a5d979bb9826011b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-12-15T08:43:53Z",
    "title_canon_sha256": "b8d2709319faef7924cd35b7b58470757875323df4a3985a4d3f345a2cba67ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4496",
    "kind": "arxiv",
    "version": 4
  }
}