Pith Number

pith:WI3UGDGO

pith:2018:WI3UGDGOG54CSH7REQOG5CO2EO

not attested not anchored not stored refs pending

Long monotone trails in random edge-labelings of random graphs

Asaf Ferber, Benny Sudakov, Omer Angel, Vincent Tassion

arxiv:1808.07351 v2 · 2018-08-22 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WI3UGDGOG54CSH7REQOG5CO2EO}

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.

Cited by

1 paper in Pith

Maximizing Reachability via Shifting of Temporal Paths

Receipt and verification

First computed	2026-05-17T23:45:22.505921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b237430cce3778291ff1241c6e89da23b5925166ed0fb2c18c8e3920035762fd

Aliases

arxiv: 1808.07351 · arxiv_version: 1808.07351v2 · doi: 10.48550/arxiv.1808.07351 · pith_short_12: WI3UGDGOG54C · pith_short_16: WI3UGDGOG54CSH7R · pith_short_8: WI3UGDGO

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/WI3UGDGOG54CSH7REQOG5CO2EO \
  | 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: b237430cce3778291ff1241c6e89da23b5925166ed0fb2c18c8e3920035762fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a8f7ceffcde7e1fd7ad21104bff4cf29068817cc70caa76ecf51e5062958be9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-22T13:43:00Z",
    "title_canon_sha256": "42de3e8759399558c2e85b1ad9ba8b1d677a25733568cbce64ea880cf2073817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07351",
    "kind": "arxiv",
    "version": 2
  }
}