Pith Number

pith:7JJ7CE42

pith:2011:7JJ7CE42QSRVRGBMCT3IE33AGL

not attested not anchored not stored refs pending

The universal definition of spin current

Chang Liu, Fuqing Liu, Zhe An

arxiv:1112.5320 v2 · 2011-12-22 · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JJ7CE42QSRVRGBMCT3IE33AGL}

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	2026-05-18T04:05:37.870517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa53f1139a84a358982c14f6826f6032dfde83b780ea0e4760b16e2a03120471

Aliases

arxiv: 1112.5320 · arxiv_version: 1112.5320v2 · doi: 10.48550/arxiv.1112.5320 · pith_short_12: 7JJ7CE42QSRV · pith_short_16: 7JJ7CE42QSRVRGBM · pith_short_8: 7JJ7CE42

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/7JJ7CE42QSRVRGBMCT3IE33AGL \
  | 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: fa53f1139a84a358982c14f6826f6032dfde83b780ea0e4760b16e2a03120471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33615459514091aa9ec6adf0be83a443ccdd606c362b54d82adda457b96b5bff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2011-12-22T14:12:56Z",
    "title_canon_sha256": "ead2f81e39dfd34c706c1d8d2f56085d8af0e2c5d036f74a1d8d1e1038981919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5320",
    "kind": "arxiv",
    "version": 2
  }
}