Pith Number

pith:PRBCD7E7

pith:2014:PRBCD7E7AW4RRPPG5RSWO43Q4D

not attested not anchored not stored refs pending

Characteristics of Finite Jaco Graphs, $J_n(1), n \in \Bbb N$

Bettina Wilkens, Johan Kok, Mokhwetha Mabula, Paul Fisher, Vivian Mukungunugwa

arxiv:1404.0484 v1 · 2014-04-02 · 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{PRBCD7E7AW4RRPPG5RSWO43Q4D}

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	2026-05-18T02:55:03.263008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4221fc9f05b918bde6ec65677370e0c8fcbb60dde0d8c5b3bbd69a3b3af0e4

Aliases

arxiv: 1404.0484 · arxiv_version: 1404.0484v1 · doi: 10.48550/arxiv.1404.0484 · pith_short_12: PRBCD7E7AW4R · pith_short_16: PRBCD7E7AW4RRPPG · pith_short_8: PRBCD7E7

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/PRBCD7E7AW4RRPPG5RSWO43Q4D \
  | 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: 7c4221fc9f05b918bde6ec65677370e0c8fcbb60dde0d8c5b3bbd69a3b3af0e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f35a66ac87242da93415f6a078c63c70928bd3bc397ee8eb188fccce588a17e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-02T08:37:41Z",
    "title_canon_sha256": "addbb49a22defa082c4f50a5a23ce86460fd51d02fff5eecec76c840573ef697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0484",
    "kind": "arxiv",
    "version": 1
  }
}