Pith Number

pith:NRBE4GFB

pith:2018:NRBE4GFBXAH5X2JPQLZM2IBQJJ

not attested not anchored not stored refs pending

Spanning trees in randomly perturbed graphs

Felix Joos, Jaehoon Kim

arxiv:1803.04958 v1 · 2018-03-13 · 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{NRBE4GFBXAH5X2JPQLZM2IBQJJ}

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	2026-05-18T00:21:15.362931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c424e18a1b80fdbe92f82f2cd20304a6e7fb11dac697490bccb4a2cdb68c8bd

Aliases

arxiv: 1803.04958 · arxiv_version: 1803.04958v1 · doi: 10.48550/arxiv.1803.04958 · pith_short_12: NRBE4GFBXAH5 · pith_short_16: NRBE4GFBXAH5X2JP · pith_short_8: NRBE4GFB

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/NRBE4GFBXAH5X2JPQLZM2IBQJJ \
  | 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: 6c424e18a1b80fdbe92f82f2cd20304a6e7fb11dac697490bccb4a2cdb68c8bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82183d803f071411756c89e5c82b29147867eed03d5954511db2516eace72ae3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-13T17:54:30Z",
    "title_canon_sha256": "50dcf9229131946ff0fc5dfb62b5bd6c6189e97a68465a3b09893dc008397423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04958",
    "kind": "arxiv",
    "version": 1
  }
}