Pith Number

pith:YEPTN4H6

pith:2026:YEPTN4H6BSUM4XFJVZHGFX2A7T

not attested not anchored not stored refs pending

Black Holes and Random Variables

Eric Perlmutter

arxiv:2607.02233 v1 · 2026-07-02 · hep-th · 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{YEPTN4H6BSUM4XFJVZHGFX2A7T}

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	2026-07-03T01:17:45.926580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c11f36f0fe0ca8ce5ca9ae4e62df40fcebf73674f512c1148fa57ae127dfa8a7

Aliases

arxiv: 2607.02233 · arxiv_version: 2607.02233v1 · doi: 10.48550/arxiv.2607.02233 · pith_short_12: YEPTN4H6BSUM · pith_short_16: YEPTN4H6BSUM4XFJ · pith_short_8: YEPTN4H6

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/YEPTN4H6BSUM4XFJVZHGFX2A7T \
  | 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: c11f36f0fe0ca8ce5ca9ae4e62df40fcebf73674f512c1148fa57ae127dfa8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dceed93bf45468e381418fe16b68335619c24c992f869b85a31f5dca8a32fe2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-02T14:32:18Z",
    "title_canon_sha256": "802c54ee66d860d54d047d84319ffa6905c417b51a9cfd6a0384a18d4a94c509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02233",
    "kind": "arxiv",
    "version": 1
  }
}