Pith Number

pith:CCDBL2QO

pith:2023:CCDBL2QOAH34BFQ3TJWVBPFMXP

not attested not anchored not stored refs pending

Function spaces for decoupling

Andrew Hassell, Jan Rozendaal, Pierre Portal, Po-Lam Yung

arxiv:2302.12701 v3 · 2023-02-24 · math.AP · 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{CCDBL2QOAH34BFQ3TJWVBPFMXP}

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	2026-05-20T01:06:02.711813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

108615ea0e01f7c0961b9a6d50bcacbbd44f714ec8e71781e969a4c7ab368852

Aliases

arxiv: 2302.12701 · arxiv_version: 2302.12701v3 · doi: 10.48550/arxiv.2302.12701 · pith_short_12: CCDBL2QOAH34 · pith_short_16: CCDBL2QOAH34BFQ3 · pith_short_8: CCDBL2QO

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/CCDBL2QOAH34BFQ3TJWVBPFMXP \
  | 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: 108615ea0e01f7c0961b9a6d50bcacbbd44f714ec8e71781e969a4c7ab368852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea0b287ec8dc1a651a3f104a1fe77d81b6ef6efd189985ac9ca445aed3298675",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-02-24T16:00:03Z",
    "title_canon_sha256": "5dd7c59bf11b0139a7418217ff2d233acea799aa74eea6d2555ccb2688d0407a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.12701",
    "kind": "arxiv",
    "version": 3
  }
}