Pith Number

pith:OKJ7SHNC

pith:2014:OKJ7SHNCBBL4IGGC56DI4HBBZE

not attested not anchored not stored refs pending

Degree Monotone Paths and Graph Operations

Christina Zarb, Josef Lauri, Yair Caro

arxiv:1408.3204 v1 · 2014-08-14 · 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{OKJ7SHNCBBL4IGGC56DI4HBBZE}

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	2026-05-18T02:45:13.549551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7293f91da20857c418c2ef868e1c21c9315017af96e55e2586c8085ab0b4c534

Aliases

arxiv: 1408.3204 · arxiv_version: 1408.3204v1 · doi: 10.48550/arxiv.1408.3204 · pith_short_12: OKJ7SHNCBBL4 · pith_short_16: OKJ7SHNCBBL4IGGC · pith_short_8: OKJ7SHNC

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/OKJ7SHNCBBL4IGGC56DI4HBBZE \
  | 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: 7293f91da20857c418c2ef868e1c21c9315017af96e55e2586c8085ab0b4c534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0600e2f381c14bb1742dd719c42c89f842a6889d2b0090bc1bbb9e6475a93dd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-14T07:12:54Z",
    "title_canon_sha256": "55bf56e585a886ff9748a15957b7aaebce27fe0a693bf8eee0ca4ff49d7568ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3204",
    "kind": "arxiv",
    "version": 1
  }
}