Pith Number

pith:AKUWOPSI

pith:2015:AKUWOPSI57MQGVAHUSUATDHWW7

not attested not anchored not stored refs pending

On the Critical Behavior of a Homopolymers Model

Michael Cranston, Stanislav Molchanov

arxiv:1508.06915 v1 · 2015-08-27 · 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{AKUWOPSI57MQGVAHUSUATDHWW7}

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	2026-05-18T01:34:40.562479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02a9673e48efd9035407a4a8098cf6b7cd4252ce8771bdfb556146c60e547d32

Aliases

arxiv: 1508.06915 · arxiv_version: 1508.06915v1 · doi: 10.48550/arxiv.1508.06915 · pith_short_12: AKUWOPSI57MQ · pith_short_16: AKUWOPSI57MQGVAH · pith_short_8: AKUWOPSI

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/AKUWOPSI57MQGVAHUSUATDHWW7 \
  | 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: 02a9673e48efd9035407a4a8098cf6b7cd4252ce8771bdfb556146c60e547d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98948e65193be6991992dfd7e41aac39d1e49bf0ab05852b0b6391aef37adaee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-27T16:09:16Z",
    "title_canon_sha256": "fd87062bc91980ce222d4f5652e0e24889e819533134571ea08c7c3385fe6ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06915",
    "kind": "arxiv",
    "version": 1
  }
}