Pith Number

pith:YHZFM22J

pith:2010:YHZFM22JDITTCQKDMQKGKBQKEM

not attested not anchored not stored refs pending

Traces of functions in Fock spaces on lattices of critical density

Jeremiah Buckley, Joaquim Ortega-Cerd\`a, Xavier Massaneda

arxiv:1008.3201 v1 · 2010-08-19 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHZFM22JDITTCQKDMQKGKBQKEM}

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	2026-05-18T03:51:25.818979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f2566b491a27314143641465060a2304a838fe7badca341ed5ffa3aac3e1f5

Aliases

arxiv: 1008.3201 · arxiv_version: 1008.3201v1 · doi: 10.48550/arxiv.1008.3201 · pith_short_12: YHZFM22JDITT · pith_short_16: YHZFM22JDITTCQKD · pith_short_8: YHZFM22J

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/YHZFM22JDITTCQKDMQKGKBQKEM \
  | 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: c1f2566b491a27314143641465060a2304a838fe7badca341ed5ffa3aac3e1f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5295c4714465be9007e4331101711a03fe5b1ece3a6840cb4d2b645771fef2d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-08-19T02:35:32Z",
    "title_canon_sha256": "88660dd49ac197e99e2d8c0f5ebc672037ceec747995b4498df1859975558cf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3201",
    "kind": "arxiv",
    "version": 1
  }
}