Pith Number

pith:CJHUR7V6

pith:1994:CJHUR7V66RIDASDIVVEFU5N57C

not attested not anchored not stored refs pending

Spanning trees short or small

Daniel J. Rosenkrantz, Madhav V. Marathe, R. Ravi, R. Sundaram, S. S. Ravi

arxiv:math/9409222 v1 · 1994-09-21 · 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{CJHUR7V66RIDASDIVVEFU5N57C}

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	2026-07-04T15:50:55.620388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124f48febef450304868ad485a75bdf8a80faaf5d991ee3e6d9c90964040833f

Aliases

arxiv: math/9409222 · arxiv_version: math/9409222v1 · doi: 10.48550/arxiv.math/9409222 · pith_short_12: CJHUR7V66RID · pith_short_16: CJHUR7V66RIDASDI · pith_short_8: CJHUR7V6

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/CJHUR7V66RIDASDIVVEFU5N57C \
  | 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: 124f48febef450304868ad485a75bdf8a80faaf5d991ee3e6d9c90964040833f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3da650c6476e4141bef89b2ffe9faa2982ac236c257fa19ea62a050a694ed92",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1994-09-21T00:00:00Z",
    "title_canon_sha256": "3e029a61a5c63c08bb91a80c4255ce2e68e2b58a9dabd8ba313bbaf2804a5888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9409222",
    "kind": "arxiv",
    "version": 1
  }
}