Pith Number

pith:A5NX4UWC

pith:2026:A5NX4UWCUUOFV23S227KDUMZTS

not attested not anchored not stored refs pending

Perturbed Beta Corners Process

Jiaming Xu, Leonid Petrov

arxiv:2607.27810 v1 · 2026-07-30 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5NX4UWCUUOFV23S227KDUMZTS}

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	2026-07-31T01:34:15.243543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

075b7e52c2a51c5aeb72d6bea1d1999c95cb43c86f9b4a539c05c0d5e89b11af

Aliases

arxiv: 2607.27810 · arxiv_version: 2607.27810v1 · doi: 10.48550/arxiv.2607.27810 · pith_short_12: A5NX4UWCUUOF · pith_short_16: A5NX4UWCUUOFV23S · pith_short_8: A5NX4UWC

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/A5NX4UWCUUOFV23S227KDUMZTS \
  | 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: 075b7e52c2a51c5aeb72d6bea1d1999c95cb43c86f9b4a539c05c0d5e89b11af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dd0531f85a12696773e26c03a7789bca0751c981f060d3ae53a290b39c21b1b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-30T07:48:39Z",
    "title_canon_sha256": "583776edcac83c98f746b28c48b1098fc64d03e5632006dc1501ba78b45c3c1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27810",
    "kind": "arxiv",
    "version": 1
  }
}