Pith Number

pith:F4W57L4Y

pith:2015:F4W57L4Y3HVQFIQZWUWSSGLHQZ

not attested not anchored not stored refs pending

I,F-partitions of Sparse Graphs

Axel Brandt, Derrick Stolee, Matthew Yancey, Michael Ferrara, Mohit Kumbhat, Sarah Loeb

arxiv:1510.03381 v1 · 2015-10-12 · math.CO · 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{F4W57L4Y3HVQFIQZWUWSSGLHQZ}

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	2026-05-18T01:30:26.404665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2ddfaf98d9eb02a219b52d29196786505c9e6c385e5c471b135d2c7a700123

Aliases

arxiv: 1510.03381 · arxiv_version: 1510.03381v1 · doi: 10.48550/arxiv.1510.03381 · pith_short_12: F4W57L4Y3HVQ · pith_short_16: F4W57L4Y3HVQFIQZ · pith_short_8: F4W57L4Y

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/F4W57L4Y3HVQFIQZWUWSSGLHQZ \
  | 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: 2f2ddfaf98d9eb02a219b52d29196786505c9e6c385e5c471b135d2c7a700123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc0cb9a9ad3dc3a49506a4afdb876cd47ddb1dc4e4803819d75f7c55ca9f6e4",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-12T18:20:35Z",
    "title_canon_sha256": "e202b5258cdcef33f1087d63e5db48331b10bb733f0c88e275a5e7d016f05980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03381",
    "kind": "arxiv",
    "version": 1
  }
}