Pith Number

pith:AH2RRYEM

pith:2024:AH2RRYEM2OTG3J62UVI5SB5ENT

not attested not anchored not stored refs pending

Random spanning trees in random environment

Luca Makowiec, Michele Salvi, Rongfeng Sun

arxiv:2410.16830 v4 · 2024-10-22 · math.PR · 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{AH2RRYEM2OTG3J62UVI5SB5ENT}

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.

Cited by

1 paper in Pith

Local limits of random spanning trees in random environment

Receipt and verification

First computed	2026-05-20T00:04:05.524069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01f518e08cd3a66da7daa551d907a46cd7f7c3851edb02b52e6fea16297eeafc

Aliases

arxiv: 2410.16830 · arxiv_version: 2410.16830v4 · doi: 10.48550/arxiv.2410.16830 · pith_short_12: AH2RRYEM2OTG · pith_short_16: AH2RRYEM2OTG3J62 · pith_short_8: AH2RRYEM

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/AH2RRYEM2OTG3J62UVI5SB5ENT \
  | 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: 01f518e08cd3a66da7daa551d907a46cd7f7c3851edb02b52e6fea16297eeafc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37dd88568503358f365089c6503f73cf8ccac97e3c25012ae4d49311a9fb33a3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-10-22T09:06:59Z",
    "title_canon_sha256": "f78370e284bec239dd78e629a14354682cd63d52f828481d5c6d9a046aa37841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.16830",
    "kind": "arxiv",
    "version": 4
  }
}