Pith Number

pith:GLMPDZE6

pith:2012:GLMPDZE6GHOTJLU3XZX7P6744I

not attested not anchored not stored refs pending

On the Equilibrium Shape of an Ice Crystal

Kenneth G. Libbrecht

arxiv:1205.1452 v1 · 2012-05-07 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLMPDZE6GHOTJLU3XZX7P6744I}

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	2026-05-18T03:56:11.182133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d8f1e49e31dd34ae9bbe6ff7fbfce23f13ef2ebb99b6ddbb3f8a672c4061eb

Aliases

arxiv: 1205.1452 · arxiv_version: 1205.1452v1 · doi: 10.48550/arxiv.1205.1452 · pith_short_12: GLMPDZE6GHOT · pith_short_16: GLMPDZE6GHOTJLU3 · pith_short_8: GLMPDZE6

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/GLMPDZE6GHOTJLU3XZX7P6744I \
  | 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: 32d8f1e49e31dd34ae9bbe6ff7fbfce23f13ef2ebb99b6ddbb3f8a672c4061eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3009de4390a4a779ee7d8c2a4f750c57160535b50ec72d6af6b54c1ee18a446f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2012-05-07T16:25:16Z",
    "title_canon_sha256": "20ac9994bddd5aca238c52b6047ab6de8fccaa81ee0e32d08e0621800a6cf27e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1452",
    "kind": "arxiv",
    "version": 1
  }
}