Pith Number

pith:UW7ZGBCM

pith:2016:UW7ZGBCMZWWNMCMNHDHG6WOAIG

not attested not anchored not stored refs pending

Topological phases from higher gauge symmetry in 3+1D

Alex Bullivant, Jo\~ao Faria Martins, Marcos Cal\c{c}ada, Paul Martin, Zolt\'an K\'ad\'ar

arxiv:1606.06639 v2 · 2016-06-21 · cond-mat.str-el · hep-lat · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UW7ZGBCMZWWNMCMNHDHG6WOAIG}

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	2026-05-18T00:46:16.640722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5bf93044ccdacd6098d38ce6f59c041bcd90c847bff4d587977735786767f02

Aliases

arxiv: 1606.06639 · arxiv_version: 1606.06639v2 · doi: 10.48550/arxiv.1606.06639 · pith_short_12: UW7ZGBCMZWWN · pith_short_16: UW7ZGBCMZWWNMCMN · pith_short_8: UW7ZGBCM

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/UW7ZGBCMZWWNMCMNHDHG6WOAIG \
  | 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: a5bf93044ccdacd6098d38ce6f59c041bcd90c847bff4d587977735786767f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4904dd31b76a55bcf5f0d050d98879ed9fd7947fbd3218758aa6c6758029fd",
    "cross_cats_sorted": [
      "hep-lat",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2016-06-21T16:23:56Z",
    "title_canon_sha256": "d23b026358c2e07c1e17802e006f9ad6b2c214b37ce2fed96e7c3843b5db4668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06639",
    "kind": "arxiv",
    "version": 2
  }
}