Pith Number

pith:NKXSHL3L

pith:2025:NKXSHL3LDOA3WCD6N6IH3BJK5U

not attested not anchored not stored refs pending

On the logarithmic equilibrium measure on curves

Damian D\k{a}browski, Tuomas Orponen

arxiv:2506.07752 v1 · 2025-06-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKXSHL3LDOA3WCD6N6IH3BJK5U}

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	2026-07-05T11:18:32.700517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aaf23af6b1b81bb087e6f907d852aed1becc7e11ede9bb941babe410dd1d339

Aliases

arxiv: 2506.07752 · arxiv_version: 2506.07752v1 · doi: 10.48550/arxiv.2506.07752 · pith_short_12: NKXSHL3LDOA3 · pith_short_16: NKXSHL3LDOA3WCD6 · pith_short_8: NKXSHL3L

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/NKXSHL3LDOA3WCD6N6IH3BJK5U \
  | 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: 6aaf23af6b1b81bb087e6f907d852aed1becc7e11ede9bb941babe410dd1d339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85983fb2e4351fe153c397c0d7d2f401a4bd1c79f521c3d8092bcfbc0c08a47a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-06-09T13:34:55Z",
    "title_canon_sha256": "bbce528e9218e5789622d29358fa07e03ec720596b5c3afc4f4007a5f9c9a15d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07752",
    "kind": "arxiv",
    "version": 1
  }
}