Pith Number

pith:X2DZEG5C

pith:2012:X2DZEG5CJCEHCDZIPI7FB6FXEJ

not attested not anchored not stored refs pending

Tree t-spanners in Outerplanar Graphs via Supply Demand Partition

G. Ramakrishna, N.S. Narayanaswamy

arxiv:1210.7919 v3 · 2012-10-30 · cs.DS · 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{X2DZEG5CJCEHCDZIPI7FB6FXEJ}

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	2026-05-18T03:10:24.364233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be87921ba24888710f287a3e50f8b7225673008e716fb3ab540df500501efab0

Aliases

arxiv: 1210.7919 · arxiv_version: 1210.7919v3 · doi: 10.48550/arxiv.1210.7919 · pith_short_12: X2DZEG5CJCEH · pith_short_16: X2DZEG5CJCEHCDZI · pith_short_8: X2DZEG5C

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/X2DZEG5CJCEHCDZIPI7FB6FXEJ \
  | 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: be87921ba24888710f287a3e50f8b7225673008e716fb3ab540df500501efab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d85d67dbcd24b7192952fb5dafe5f96debd85d25db7f7dfa5cb1a2ad9ec83b3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-10-30T07:45:35Z",
    "title_canon_sha256": "89b4a0edb05ac79ab7ab06cf35111e3b77ac15534d3bd14c7b5633e5b930d86d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7919",
    "kind": "arxiv",
    "version": 3
  }
}