Pith Number

pith:VKRJ2YST

pith:2013:VKRJ2YSTEZ67Y2QEH66DBSG6QQ

not attested not anchored not stored refs pending

Trapezoidal Fuzzy Numbers for the Transportation Problem

Arindam Chaudhuri, Dipak Chatterjee, Kajal De, Pabitra Mitra

arxiv:1307.1893 v1 · 2013-07-07 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKRJ2YSTEZ67Y2QEH66DBSG6QQ}

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	2026-05-18T03:19:03.215751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa29d6253267dfc6a043fbc30c8de8422015cf71a1cb0fb54c208e6793c5e86

Aliases

arxiv: 1307.1893 · arxiv_version: 1307.1893v1 · doi: 10.48550/arxiv.1307.1893 · pith_short_12: VKRJ2YSTEZ67 · pith_short_16: VKRJ2YSTEZ67Y2QE · pith_short_8: VKRJ2YST

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/VKRJ2YSTEZ67Y2QEH66DBSG6QQ \
  | 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: aaa29d6253267dfc6a043fbc30c8de8422015cf71a1cb0fb54c208e6793c5e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da5f59a5dc13cc9609671b3fdf89e95e77855497651dfca1b281b5ff986b9a1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2013-07-07T18:32:23Z",
    "title_canon_sha256": "a815b30a5b54978c53a7600bb0ad2684c4948a7f07f890466de929e305481187"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1893",
    "kind": "arxiv",
    "version": 1
  }
}