Pith Number

pith:WRX6YYW7

pith:2015:WRX6YYW7I4DEEA6GJC7VLDJZID

not attested not anchored not stored refs pending

Environment tensor as order parameter for symmetry breaking and (symmetry-protected) topological orders

Fangzhou Liu, Xiao-Gang Wen

arxiv:1504.08365 v1 · 2015-04-30 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRX6YYW7I4DEEA6GJC7VLDJZID}

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	2026-05-18T02:17:22.281821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46fec62df47064203c648bf558d3940e80ca88d6799c4e9c0f576c723c64c19

Aliases

arxiv: 1504.08365 · arxiv_version: 1504.08365v1 · doi: 10.48550/arxiv.1504.08365 · pith_short_12: WRX6YYW7I4DE · pith_short_16: WRX6YYW7I4DEEA6G · pith_short_8: WRX6YYW7

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/WRX6YYW7I4DEEA6GJC7VLDJZID \
  | 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: b46fec62df47064203c648bf558d3940e80ca88d6799c4e9c0f576c723c64c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87209d4e854544f8b8338149b23e5096f183dd680b51cf5d4fe6fb6f27515bce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2015-04-30T19:57:21Z",
    "title_canon_sha256": "647fe5109b30a495be9ca561df1b6d793d354c5e64f8e98da97fecc9c37ca829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08365",
    "kind": "arxiv",
    "version": 1
  }
}