Pith Number

pith:EPVIHA3C

pith:2026:EPVIHA3CV5AJKO4XOFCLHS3GKI

not attested not anchored not stored refs pending

Exact detection threshold of the packing test

Tuan Pham

arxiv:2608.00445 v1 · 2026-08-01 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPVIHA3CV5AJKO4XOFCLHS3GKI}

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	2026-08-04T00:36:42.201398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23ea838362af40953b977144b3cb6652013efdc600fc360fa598974706bbf0a0

Aliases

arxiv: 2608.00445 · arxiv_version: 2608.00445v1 · doi: 10.48550/arxiv.2608.00445 · pith_short_12: EPVIHA3CV5AJ · pith_short_16: EPVIHA3CV5AJKO4X · pith_short_8: EPVIHA3C

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/EPVIHA3CV5AJKO4XOFCLHS3GKI \
  | 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: 23ea838362af40953b977144b3cb6652013efdc600fc360fa598974706bbf0a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f028f12629ea76f22d129ebe24b382f8189c1888eb50c7e4941bce486e3571",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-08-01T05:02:15Z",
    "title_canon_sha256": "7be05aa66cac24165a4ca2ff5c2aff5b41d09b3c44e12ba540a3534485be3e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00445",
    "kind": "arxiv",
    "version": 1
  }
}