Pith Number

pith:GBGARTV2

pith:2023:GBGARTV2XYTRR3AAK33IMITQHA

not attested not anchored not stored refs pending

Convex minorant trees associated with Brownian paths and the continuum limit of the minimum spanning tree

Jean-Fran\c{c}ois Marckert, Nicolas Broutin

arxiv:2307.12260 v1 · 2023-07-23 · 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{GBGARTV2XYTRR3AAK33IMITQHA}

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	2026-07-05T06:33:51.668118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

304c08cebabe2718ec0056f6862270383f092cd865ddffa68a8784e019574f0c

Aliases

arxiv: 2307.12260 · arxiv_version: 2307.12260v1 · doi: 10.48550/arxiv.2307.12260 · pith_short_12: GBGARTV2XYTR · pith_short_16: GBGARTV2XYTRR3AA · pith_short_8: GBGARTV2

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/GBGARTV2XYTRR3AAK33IMITQHA \
  | 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: 304c08cebabe2718ec0056f6862270383f092cd865ddffa68a8784e019574f0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8201048610bcea2266683b713b97a9bcdd4f98f4802882e90ce1ebb9ec637072",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-07-23T08:20:02Z",
    "title_canon_sha256": "d6ac89a98b674eb699a13db69a0ccc5725cbca56830ba38f512570244ca65411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.12260",
    "kind": "arxiv",
    "version": 1
  }
}