Pith Number

pith:J4UXRIWS

pith:2016:J4UXRIWS2Z2HCY5RFFVWZ2ZNBW

not attested not anchored not stored refs pending

Holographic paramagnetism-ferromagnetism phase transition with the nonlinear electrodynamics

Cheng-Yuan Zhang, Huan-Yu Wang, Meng-Meng Wu, Ya-Bo Wu, Ya-Nan Zhang

arxiv:1609.09318 v1 · 2016-09-29 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4UXRIWS2Z2HCY5RFFVWZ2ZNBW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:53:30.095214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2978a2d2d6747163b1296b6ceb2d0db25933afdfdf93e3370621d8ea663aa1

Aliases

arxiv: 1609.09318 · arxiv_version: 1609.09318v1 · doi: 10.48550/arxiv.1609.09318 · pith_short_12: J4UXRIWS2Z2H · pith_short_16: J4UXRIWS2Z2HCY5R · pith_short_8: J4UXRIWS

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/J4UXRIWS2Z2HCY5RFFVWZ2ZNBW \
  | 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: 4f2978a2d2d6747163b1296b6ceb2d0db25933afdfdf93e3370621d8ea663aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a5a59a921aebd648a3bef761a42c6c897729e78ecae0a8bf1a275d90f9f617",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-09-29T12:46:05Z",
    "title_canon_sha256": "67f42a38978d0a68962d39e4d673e50362f68973d516b73e7dffc901a693267d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09318",
    "kind": "arxiv",
    "version": 1
  }
}