Pith Number

pith:QMFJBP23

pith:2026:QMFJBP23WVTYS4YR4UIDBUTEW3

not attested not anchored not stored refs pending

Periodic directed landscape

Amol Aggarwal, Dominik Schmid, Ivan Corwin

arxiv:2607.18104 v1 · 2026-07-20 · 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{QMFJBP23WVTYS4YR4UIDBUTEW3}

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	2026-07-21T02:22:16.531419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

830a90bf5bb567897311e51030d264b6d5b09d89c0122cdf8889bf78ec22e5a1

Aliases

arxiv: 2607.18104 · arxiv_version: 2607.18104v1 · doi: 10.48550/arxiv.2607.18104 · pith_short_12: QMFJBP23WVTY · pith_short_16: QMFJBP23WVTYS4YR · pith_short_8: QMFJBP23

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/QMFJBP23WVTYS4YR4UIDBUTEW3 \
  | 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: 830a90bf5bb567897311e51030d264b6d5b09d89c0122cdf8889bf78ec22e5a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02f22c721c82fa25ec58d9cbfec7097ad8d4cbb26ae553914fd64fb1928b390",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-20T16:04:11Z",
    "title_canon_sha256": "36b29e17fcef5b3982811775bc9d0f43afc0b190f31d6e50577712f824f5d154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18104",
    "kind": "arxiv",
    "version": 1
  }
}