Pith Number

pith:5I3PU43S

pith:2025:5I3PU43SHOX6Z3HDQTFWCT3RVU

not attested not anchored not stored refs pending

Invariant distances on spaces of Legendrians

Pierre-Alexandre Arlove

arxiv:2507.18724 v1 · 2025-07-24 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5I3PU43SHOX6Z3HDQTFWCT3RVU}

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	2026-07-05T11:42:56.837225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea36fa73723bafecece384cb614f71ad085d51b9862f4d1028c17f5a02ad90fb

Aliases

arxiv: 2507.18724 · arxiv_version: 2507.18724v1 · doi: 10.48550/arxiv.2507.18724 · pith_short_12: 5I3PU43SHOX6 · pith_short_16: 5I3PU43SHOX6Z3HD · pith_short_8: 5I3PU43S

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/5I3PU43SHOX6Z3HDQTFWCT3RVU \
  | 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: ea36fa73723bafecece384cb614f71ad085d51b9862f4d1028c17f5a02ad90fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df06b493cdad460240da253b55b937ceca724af48be4809489d978354b3ceeac",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-07-24T18:13:26Z",
    "title_canon_sha256": "d4116ca3367b8a6ce775f4332f9e62fd6bb51d889623cef13c6acad58eb92852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18724",
    "kind": "arxiv",
    "version": 1
  }
}