Pith Number

pith:PCPXM6ZJ

pith:2026:PCPXM6ZJIAP6A3HSQUMFD4MRYE

not attested not anchored not stored refs pending

Expected signatures via partial integration, coordinate change and symmetrization

Luca Pelizzari, Paul P. Hager

arxiv:2607.29534 v1 · 2026-07-31 · 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{PCPXM6ZJIAP6A3HSQUMFD4MRYE}

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	2026-08-03T01:37:41.010543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789f767b29401fe06cf2851851f191c11c5422c3ed6c6c550441408c907f852b

Aliases

arxiv: 2607.29534 · arxiv_version: 2607.29534v1 · doi: 10.48550/arxiv.2607.29534 · pith_short_12: PCPXM6ZJIAP6 · pith_short_16: PCPXM6ZJIAP6A3HS · pith_short_8: PCPXM6ZJ

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/PCPXM6ZJIAP6A3HSQUMFD4MRYE \
  | 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: 789f767b29401fe06cf2851851f191c11c5422c3ed6c6c550441408c907f852b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7947837053ec6bda6f6e83df63e4a68d7c4555920fdcaf30e4606e25366fca2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-31T15:31:18Z",
    "title_canon_sha256": "74ec563d3d14151188a01875e3f5833ba4c99142d5c0c3668596f4de5f741175"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29534",
    "kind": "arxiv",
    "version": 1
  }
}