Pith Number

pith:WPAUM245

pith:2017:WPAUM2452ZBUF6Y4PGY6OBAAXX

not attested not anchored not stored refs pending

Rough Fuzzy Quadratic Minimum Spanning Tree Problem

Saibal Majumder, Samarjit Kar, Tandra Pal

arxiv:1712.04859 v1 · 2017-12-13 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPAUM2452ZBUF6Y4PGY6OBAAXX}

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	2026-05-18T00:28:03.279995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c1466b9dd64342fb1c79b1e70400bde58e6c1b744fd1bb483af63abc4dcbe6

Aliases

arxiv: 1712.04859 · arxiv_version: 1712.04859v1 · doi: 10.48550/arxiv.1712.04859 · pith_short_12: WPAUM2452ZBU · pith_short_16: WPAUM2452ZBUF6Y4 · pith_short_8: WPAUM245

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/WPAUM2452ZBUF6Y4PGY6OBAAXX \
  | 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: b3c1466b9dd64342fb1c79b1e70400bde58e6c1b744fd1bb483af63abc4dcbe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ee3223c6d20d4092eb2bac7906a1aa880f07ba0ee3affc6faf01edbca5c00b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-13T16:49:42Z",
    "title_canon_sha256": "b77395892c7ad3bdc30e4b3ad0385b6382d95ae665ec970a6a2f8968ecaf5227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04859",
    "kind": "arxiv",
    "version": 1
  }
}