Pith Number

pith:RPJIUR3R

pith:2017:RPJIUR3RKNNXGQJG6TEGMJ53VT

not attested not anchored not stored refs pending

Maximal Planar Subgraphs of Fixed Girth in Random Graphs

Manuel Fern\'andez, Michael Tait, Nicholas Sieger

arxiv:1706.06202 v1 · 2017-06-19 · 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{RPJIUR3RKNNXGQJG6TEGMJ53VT}

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	2026-05-18T00:42:03.954536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bd28a4771535b734126f4c86627bbace63210565605954af8fc9f7080e4619e

Aliases

arxiv: 1706.06202 · arxiv_version: 1706.06202v1 · doi: 10.48550/arxiv.1706.06202 · pith_short_12: RPJIUR3RKNNX · pith_short_16: RPJIUR3RKNNXGQJG · pith_short_8: RPJIUR3R

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/RPJIUR3RKNNXGQJG6TEGMJ53VT \
  | 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: 8bd28a4771535b734126f4c86627bbace63210565605954af8fc9f7080e4619e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "544d244d33b97ba8ab8fe191eb053c5bd2c465460755efdbbd011b2758890c81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-19T22:54:31Z",
    "title_canon_sha256": "8f3b5405476ea5ee04ca996f712836dc7996ed69abe7c4eb237a80dbf1919635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06202",
    "kind": "arxiv",
    "version": 1
  }
}