Pith Number

pith:3Z5DCXO2

pith:2012:3Z5DCXO2OE7SVP5DXYUNOYBPOO

not attested not anchored not stored refs pending

Faster Deterministic Fully-Dynamic Graph Connectivity

Christian Wulff-Nilsen

arxiv:1209.5608 v1 · 2012-09-25 · 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{3Z5DCXO2OE7SVP5DXYUNOYBPOO}

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	2026-05-18T03:44:48.026649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7a315dda713f2abfa3be28d7602f73919237bff957f3284697532ba471da72

Aliases

arxiv: 1209.5608 · arxiv_version: 1209.5608v1 · doi: 10.48550/arxiv.1209.5608 · pith_short_12: 3Z5DCXO2OE7S · pith_short_16: 3Z5DCXO2OE7SVP5D · pith_short_8: 3Z5DCXO2

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/3Z5DCXO2OE7SVP5DXYUNOYBPOO \
  | 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: de7a315dda713f2abfa3be28d7602f73919237bff957f3284697532ba471da72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd6236ad28d4755ce6311e26a505700d62d7256ca36db80c393d0b10f2054cc",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-09-25T13:42:56Z",
    "title_canon_sha256": "de9af927c8c90c732299faf68d733763598faed3ac33fb5533d23c3f4c7a0dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5608",
    "kind": "arxiv",
    "version": 1
  }
}