Pith Number

pith:556QQ7ZJ

pith:2009:556QQ7ZJHRYFAHULHOY6UFBSYG

not attested not anchored not stored refs pending

Freezing into Stripe States in Two-Dimensional Ferromagnets and Crossing Probabilities in Critical Percolation

Kipton Barros, P.L. Krapivsky, S. Redner

arxiv:0905.3521 v2 · 2009-05-21 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{556QQ7ZJHRYFAHULHOY6UFBSYG}

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	2026-05-18T04:30:37.035698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7d087f293c70501e8b3bb1ea1432c1bbfc66bfa73f43eef3b6ce344c7f54b6

Aliases

arxiv: 0905.3521 · arxiv_version: 0905.3521v2 · doi: 10.48550/arxiv.0905.3521 · pith_short_12: 556QQ7ZJHRYF · pith_short_16: 556QQ7ZJHRYFAHUL · pith_short_8: 556QQ7ZJ

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/556QQ7ZJHRYFAHULHOY6UFBSYG \
  | 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: ef7d087f293c70501e8b3bb1ea1432c1bbfc66bfa73f43eef3b6ce344c7f54b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80424a2b48ff03674bf08b143ea0fdd75bc2039184985946821b8cb2b549d4b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-05-21T16:05:44Z",
    "title_canon_sha256": "9900dd45a6912738480d371449604668cfbb2cf659aec9eb69d9704a586737a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3521",
    "kind": "arxiv",
    "version": 2
  }
}