Pith Number

pith:OFGFYV32

pith:2017:OFGFYV32FA3CQU5TJPI7K4HLRQ

not attested not anchored not stored refs pending

Towards a fractal cohomology: Spectra of Polya--Hilbert operators, regularized determinants and Riemann zeros

Michel L. Lapidus, Tim Cobler

arxiv:1705.06222 v4 · 2017-05-02 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFGFYV32FA3CQU5TJPI7K4HLRQ}

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	2026-05-18T00:41:57.668681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

714c5c577a28362853b34bd1f570eb8c09c00a092a8341d76cbdd449543baeb0

Aliases

arxiv: 1705.06222 · arxiv_version: 1705.06222v4 · doi: 10.48550/arxiv.1705.06222 · pith_short_12: OFGFYV32FA3C · pith_short_16: OFGFYV32FA3CQU5T · pith_short_8: OFGFYV32

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/OFGFYV32FA3CQU5TJPI7K4HLRQ \
  | 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: 714c5c577a28362853b34bd1f570eb8c09c00a092a8341d76cbdd449543baeb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "711f8b6ad1bc910302418f8ec3af07017946e6acebbb664d66296ad2fb886e0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-02T00:26:39Z",
    "title_canon_sha256": "2fb4102af9c148b295da788762370ba1970fac1bf343eb4a640e3f19c0db48af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06222",
    "kind": "arxiv",
    "version": 4
  }
}