Pith Number

pith:2AREBQ3L

pith:2010:2AREBQ3LZSMTNGAAH5BABFF4AS

not attested not anchored not stored refs pending

Derivation of a three-dimensional phase-field-crystal model for liquid crystals from density functional theory

Hartmut L\"owen, Helmut R. Brand, Raphael Wittkowski

arxiv:1007.1648 v1 · 2010-07-09 · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AREBQ3LZSMTNGAAH5BABFF4AS}

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	2026-05-18T03:01:11.721341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d02240c36bcc993698003f420094bc049edab29ab16fd7f9a06ea2ed5bd0e692

Aliases

arxiv: 1007.1648 · arxiv_version: 1007.1648v1 · doi: 10.48550/arxiv.1007.1648 · pith_short_12: 2AREBQ3LZSMT · pith_short_16: 2AREBQ3LZSMTNGAA · pith_short_8: 2AREBQ3L

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/2AREBQ3LZSMTNGAAH5BABFF4AS \
  | 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: d02240c36bcc993698003f420094bc049edab29ab16fd7f9a06ea2ed5bd0e692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "381460c206883e1b8e1775d9ea5d0cd7a8295b5ee4cb85fd3a78babaabb0020e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2010-07-09T19:15:05Z",
    "title_canon_sha256": "b5c5b5c3806e8043197c66de272e935d36705a94b0174ba4fb37e5abf62d0d26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1648",
    "kind": "arxiv",
    "version": 1
  }
}