Pith Number

pith:42H2IHJL

pith:2026:42H2IHJLE4V3KE5OYOTU6MY6PP

not attested not anchored not stored refs pending

Pyramids and Extended Metric Measure Spaces

Kohei Suzuki, Nicola Gigli, Simone Vincini

arxiv:2607.26626 v1 · 2026-07-29 · math.MG · math.FA · 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{42H2IHJLE4V3KE5OYOTU6MY6PP}

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	2026-07-30T01:21:36.984237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

e68fa41d2b272bb513aec3a74f331e7be8dfd2d415405918e8e3ceaa4bece9dd

Aliases

arxiv: 2607.26626 · arxiv_version: 2607.26626v1 · doi: 10.48550/arxiv.2607.26626 · pith_short_12: 42H2IHJLE4V3 · pith_short_16: 42H2IHJLE4V3KE5O · pith_short_8: 42H2IHJL

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/42H2IHJLE4V3KE5OYOTU6MY6PP \
  | 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: e68fa41d2b272bb513aec3a74f331e7be8dfd2d415405918e8e3ceaa4bece9dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7389dc85d6a9490e99595658ef4e2d8700fcd00a41142d09f3c15505389c9fa7",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-29T08:53:50Z",
    "title_canon_sha256": "bd50f7f2e90ede196beb8c78cd5c16ce8cba0dba15286fdd90422243be480fe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26626",
    "kind": "arxiv",
    "version": 1
  }
}