Pith Number

pith:2ZUJYLEC

pith:2013:2ZUJYLECBWAS3CDNOKGJ5SL7BG

not attested not anchored not stored refs pending

Hexagonal patterns in a simplified model for block copolymers

D. P. Bourne, M. A. Peletier, S. M. Roper

arxiv:1305.6540 v2 · 2013-05-28 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZUJYLECBWAS3CDNOKGJ5SL7BG}

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	2026-05-18T03:05:28.111380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6689c2c820d812d886d728c9ec97f09bf5976e6083befff4ed20b2f5b240b77

Aliases

arxiv: 1305.6540 · arxiv_version: 1305.6540v2 · doi: 10.48550/arxiv.1305.6540 · pith_short_12: 2ZUJYLECBWAS · pith_short_16: 2ZUJYLECBWAS3CDN · pith_short_8: 2ZUJYLEC

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/2ZUJYLECBWAS3CDNOKGJ5SL7BG \
  | 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: d6689c2c820d812d886d728c9ec97f09bf5976e6083befff4ed20b2f5b240b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b512c28391527c957f991d0d57e3833e5e8b0be983f090331d0e32d9100e903",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-28T15:46:02Z",
    "title_canon_sha256": "160b49161a3570b08c33efdd63760e3a811f0d48abec5ab8e2b1fb8d95d0f3d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6540",
    "kind": "arxiv",
    "version": 2
  }
}