Pith Number

pith:ELK5F3QN

pith:2026:ELK5F3QND2UWT526ZQRODIWNWJ

not attested not anchored not stored refs pending

$S$-duality, boundary states, and higher-form symmetries on ALE spaces

Mohamed M. Anber

arxiv:2605.26224 v1 · 2026-05-25 · hep-th · cond-mat.str-el · 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{ELK5F3QND2UWT526ZQRODIWNWJ}

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	2026-05-27T00:04:29.532028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22d5d2ee0d1ea969f75ecc22e1a2cdb26df150379c53a0ba41189c04ce83134c

Aliases

arxiv: 2605.26224 · arxiv_version: 2605.26224v1 · doi: 10.48550/arxiv.2605.26224 · pith_short_12: ELK5F3QND2UW · pith_short_16: ELK5F3QND2UWT526 · pith_short_8: ELK5F3QN

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/ELK5F3QND2UWT526ZQRODIWNWJ \
  | 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: 22d5d2ee0d1ea969f75ecc22e1a2cdb26df150379c53a0ba41189c04ce83134c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "464e4e435076fd31567ff7a053dfe9583ddad5b017119e8ee60cbb0f31c77701",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-25T18:00:09Z",
    "title_canon_sha256": "726c7c54619279c88064e595afba5fb19f06f507b3545e0b0ad201d90d48f329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26224",
    "kind": "arxiv",
    "version": 1
  }
}