Pith Number

pith:UJ5R6Z6A

pith:2013:UJ5R6Z6A4JRHNMQ7B47JACZLPC

not attested not anchored not stored refs pending

Decompositions of Triangle-Dense Graphs

C. Seshadhri, Rishi Gupta, Tim Roughgarden

arxiv:1309.7440 v3 · 2013-09-28 · cs.DS · cs.SI · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJ5R6Z6A4JRHNMQ7B47JACZLPC}

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	2026-05-18T02:59:47.627050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a27b1f67c0e26276b21f0f3e900b2b7892bd7551cf877b82da47b363a9d65083

Aliases

arxiv: 1309.7440 · arxiv_version: 1309.7440v3 · doi: 10.48550/arxiv.1309.7440 · pith_short_12: UJ5R6Z6A4JRH · pith_short_16: UJ5R6Z6A4JRHNMQ7 · pith_short_8: UJ5R6Z6A

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/UJ5R6Z6A4JRHNMQ7B47JACZLPC \
  | 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: a27b1f67c0e26276b21f0f3e900b2b7892bd7551cf877b82da47b363a9d65083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "826dd234122f8f66e91b3767f81b998aca0eeda2c1c3287e2bfe1619e7206045",
    "cross_cats_sorted": [
      "cs.SI",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-09-28T08:08:51Z",
    "title_canon_sha256": "d1abddee7494afeaa1c1de192099790c09d56027589a2bdfe4704090b56f43a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7440",
    "kind": "arxiv",
    "version": 3
  }
}