Pith Number

pith:HI7PNKFQ

pith:2014:HI7PNKFQSGNFRSFW6MS3CKBVY5

not attested not anchored not stored refs pending

Minimal Spanning Trees on Infinite Sets

A.A.Tuzhilin, A.O.Ivanov

arxiv:1403.3831 v1 · 2014-03-15 · math.MG · math.CO · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HI7PNKFQSGNFRSFW6MS3CKBVY5}

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	2026-05-18T02:56:13.368526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a3ef6a8b0919a58c8b6f325b12835c74550022e94298018dcdc708f2c5e2d5d

Aliases

arxiv: 1403.3831 · arxiv_version: 1403.3831v1 · doi: 10.48550/arxiv.1403.3831 · pith_short_12: HI7PNKFQSGNF · pith_short_16: HI7PNKFQSGNFRSFW · pith_short_8: HI7PNKFQ

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/HI7PNKFQSGNFRSFW6MS3CKBVY5 \
  | 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: 3a3ef6a8b0919a58c8b6f325b12835c74550022e94298018dcdc708f2c5e2d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd1dd8cca60d272dd4374be04485d94713f90dc2f7de037aec4c756ba8a45e5",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-03-15T17:58:59Z",
    "title_canon_sha256": "9cc0f31da6770841cb08282c9950f2469110ef523d4c116c8d7de367ec6dfbb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3831",
    "kind": "arxiv",
    "version": 1
  }
}