Pith Number

pith:RAPIOM43

pith:2015:RAPIOM43LOYJXZ3XCYPT5KTJN5

not attested not anchored not stored refs pending

Wired Cycle-Breaking Dynamics for Uniform Spanning Forests

Tom Hutchcroft

arxiv:1504.03928 v1 · 2015-04-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAPIOM43LOYJXZ3XCYPT5KTJN5}

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	2026-05-18T00:17:20.098233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881e87339b5bb09be777161f3eaa696f456c3f29af9af68c097a7a25920bcf10

Aliases

arxiv: 1504.03928 · arxiv_version: 1504.03928v1 · doi: 10.48550/arxiv.1504.03928 · pith_short_12: RAPIOM43LOYJ · pith_short_16: RAPIOM43LOYJXZ3X · pith_short_8: RAPIOM43

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/RAPIOM43LOYJXZ3XCYPT5KTJN5 \
  | 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: 881e87339b5bb09be777161f3eaa696f456c3f29af9af68c097a7a25920bcf10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "103e54997eeb9da205bc79cd45c9363dd8f6c0d29daa553e142884c7475c24ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-15T14:35:00Z",
    "title_canon_sha256": "029df3234b3052b79144dde42cbad68c42ef4f58a0be08e7aec1c876e5b60f55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03928",
    "kind": "arxiv",
    "version": 1
  }
}