Pith Number

pith:TUWR3BAE

pith:2005:TUWR3BAE62BZ2JDWPMUBYKOIZM

not attested not anchored not stored refs pending

Extended Dynamical Equations of the Period Vectors of Crystals under Constant External Stress to Many-body Interactions

Gang Liu

arxiv:cond-mat/0505251 v6 · 2005-05-10 · cond-mat.mtrl-sci · 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{TUWR3BAE62BZ2JDWPMUBYKOIZM}

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	2026-05-18T00:08:31.893152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d2d1d8404f6839d24767b281c29c8cb2e181a016f520da94f60b747815f574d

Aliases

arxiv: cond-mat/0505251 · arxiv_version: cond-mat/0505251v6 · doi: 10.48550/arxiv.cond-mat/0505251 · pith_short_12: TUWR3BAE62BZ · pith_short_16: TUWR3BAE62BZ2JDW · pith_short_8: TUWR3BAE

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/TUWR3BAE62BZ2JDWPMUBYKOIZM \
  | 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: 9d2d1d8404f6839d24767b281c29c8cb2e181a016f520da94f60b747815f574d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ef16977b3862b8c416dc56a1f1c2f82d7e902e40b2bd0893b1bf7343e81d8a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2005-05-10T18:35:39Z",
    "title_canon_sha256": "8eed8ddbf510a1dd50a20b8f5ffde67a91068a85529c21413bbfcb7e826067e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0505251",
    "kind": "arxiv",
    "version": 6
  }
}