Pith Number

pith:VCYQNDLX

pith:2025:VCYQNDLXKEEWZ3N4567ELTKBPL

not attested not anchored not stored refs pending

Gromov-Wasserstein Bound between Reeb and Mapper Graphs

Bertrand Michel, Mathieu Carri\`ere, Ziyad Oulhaj

arxiv:2506.02810 v1 · 2025-06-03 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCYQNDLXKEEWZ3N4567ELTKBPL}

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	2026-07-05T11:15:09.648881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b1068d7751096cedbcefbe45cd417af82e147f203cfd5ddf22d803588daea3

Aliases

arxiv: 2506.02810 · arxiv_version: 2506.02810v1 · doi: 10.48550/arxiv.2506.02810 · pith_short_12: VCYQNDLXKEEW · pith_short_16: VCYQNDLXKEEWZ3N4 · pith_short_8: VCYQNDLX

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/VCYQNDLXKEEWZ3N4567ELTKBPL \
  | 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: a8b1068d7751096cedbcefbe45cd417af82e147f203cfd5ddf22d803588daea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a17af28b936e34215cb185951b86c30e4f56ccbe92fcc378c1493bb3e6855cf5",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-06-03T12:37:19Z",
    "title_canon_sha256": "53bebb8dc904ad79e7829a4689b7d56a6c024229170d9d3563dea2149ed82c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02810",
    "kind": "arxiv",
    "version": 1
  }
}