Pith Number

pith:TUU4MKOD

pith:2026:TUU4MKODHGRUZWAKNDDSESPOS3

not attested not anchored not stored refs pending

Stationary measures for log-gamma polymer on a strip and in half-space

Jacek Wesolowski, Wlodek Bryc

arxiv:2607.17030 v1 · 2026-07-19 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUU4MKODHGRUZWAKNDDSESPOS3}

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	2026-07-21T01:21:11.386403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d29c629c339a34cd80a68c72249ee96df8fe6e85c702b3785c7a1e74dc4917a

Aliases

arxiv: 2607.17030 · arxiv_version: 2607.17030v1 · doi: 10.48550/arxiv.2607.17030 · pith_short_12: TUU4MKODHGRU · pith_short_16: TUU4MKODHGRUZWAK · pith_short_8: TUU4MKOD

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/TUU4MKODHGRUZWAKNDDSESPOS3 \
  | 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: 9d29c629c339a34cd80a68c72249ee96df8fe6e85c702b3785c7a1e74dc4917a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8783e6bcba4897934658816c0ff77e2c4a9d010d44e4866f9dcf3aa02b856c0c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-19T02:28:02Z",
    "title_canon_sha256": "f843bb58b2a5373f8a29d72f3b34b5851eafdc5d5cc6054e9cfac8061999090a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17030",
    "kind": "arxiv",
    "version": 1
  }
}