Pith Number

pith:ORI53IAC

pith:2014:ORI53IAC2QXQ27YOBDOLPFGML5

not attested not anchored not stored refs pending

Phases with modular ground states for symmetry breaking by rank 3 and rank 2 antisymmetric tensor scalars

Stephen L. Adler

arxiv:1409.1180 v5 · 2014-09-03 · hep-th · hep-ph · 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{ORI53IAC2QXQ27YOBDOLPFGML5}

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	2026-05-18T01:42:08.538590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7451dda002d42f0d7f0e08dcb794cc5f6043a76fa7491fdfdd01edd2cff815cb

Aliases

arxiv: 1409.1180 · arxiv_version: 1409.1180v5 · doi: 10.48550/arxiv.1409.1180 · pith_short_12: ORI53IAC2QXQ · pith_short_16: ORI53IAC2QXQ27YO · pith_short_8: ORI53IAC

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/ORI53IAC2QXQ27YOBDOLPFGML5 \
  | 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: 7451dda002d42f0d7f0e08dcb794cc5f6043a76fa7491fdfdd01edd2cff815cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac54a434a10e60269d74ac16313449ec54648c9bc3049164edbe3abc4e050704",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-09-03T17:52:20Z",
    "title_canon_sha256": "10e1a8be7b35ebbe4a3a39d5ca531237a78cc8836556d4c46d055aa9f8815e50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1180",
    "kind": "arxiv",
    "version": 5
  }
}