Pith Number

pith:3SGIHS7X

pith:2014:3SGIHS7X2MABZCE4V2ZPS2ZAZ3

not attested not anchored not stored refs pending

Computation of a Tree 3-Spanner on Trapezoid Graphs

Madhumangal Pal, Sambhu Charan Barman, Sukumar Mondal

arxiv:1407.8132 v2 · 2014-07-30 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SGIHS7X2MABZCE4V2ZPS2ZAZ3}

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	2026-05-18T02:45:30.983180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc8c83cbf7d3001c889caeb2f96b20cec2b28d06c47c8fce706f71e8369f628f

Aliases

arxiv: 1407.8132 · arxiv_version: 1407.8132v2 · doi: 10.48550/arxiv.1407.8132 · pith_short_12: 3SGIHS7X2MAB · pith_short_16: 3SGIHS7X2MABZCE4 · pith_short_8: 3SGIHS7X

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/3SGIHS7X2MABZCE4V2ZPS2ZAZ3 \
  | 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: dc8c83cbf7d3001c889caeb2f96b20cec2b28d06c47c8fce706f71e8369f628f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7780ea78d4bba019efabbf18abbc140fd55b832257110bc2b4163c494d012af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-07-30T17:27:29Z",
    "title_canon_sha256": "257fd845bd11791297260c809815e003d61be59de5f2a928c9d6388cd6a0b508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8132",
    "kind": "arxiv",
    "version": 2
  }
}