Pith Number

pith:UJUEXKRI

pith:2012:UJUEXKRIIYME4ISA332RGNEO7U

not attested not anchored not stored refs pending

Trees with Maximum p-Reinforcement Number

Jun-Ming Xu, You Lu

arxiv:1211.5742 v1 · 2012-11-25 · 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{UJUEXKRIIYME4ISA332RGNEO7U}

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	2026-05-18T03:40:02.072365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2684baa2846184e2240def513348efd03045d721348a502c967e19766a19f71

Aliases

arxiv: 1211.5742 · arxiv_version: 1211.5742v1 · doi: 10.48550/arxiv.1211.5742 · pith_short_12: UJUEXKRIIYME · pith_short_16: UJUEXKRIIYME4ISA · pith_short_8: UJUEXKRI

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/UJUEXKRIIYME4ISA332RGNEO7U \
  | 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: a2684baa2846184e2240def513348efd03045d721348a502c967e19766a19f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b091801f1bac67de6354cb1e25f2688baf839f046b0dd90f700dacd4ccd25f24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-25T08:35:46Z",
    "title_canon_sha256": "c27a7cc9e6b00846bdf08526d4a7f322bbb15103170f5970afa97ca2f7fcfff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5742",
    "kind": "arxiv",
    "version": 1
  }
}