Pith Number

pith:4R5CPOFR

pith:2026:4R5CPOFRNVKNHVYS5S7BTQKFND

not attested not anchored not stored refs pending

Non-invertible symmetries in the axiverse, and the imaginary wormholes

Daniele Licciardello, Luca Martucci

arxiv:2606.26004 v1 · 2026-06-24 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4R5CPOFRNVKNHVYS5S7BTQKFND}

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	2026-06-25T01:18:45.556949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47a27b8b16d54d3d712ecbe19c14568de94cf8319a6e50249d3a95b85c0a1dd

Aliases

arxiv: 2606.26004 · arxiv_version: 2606.26004v1 · doi: 10.48550/arxiv.2606.26004 · pith_short_12: 4R5CPOFRNVKN · pith_short_16: 4R5CPOFRNVKNHVYS · pith_short_8: 4R5CPOFR

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/4R5CPOFRNVKNHVYS5S7BTQKFND \
  | 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: e47a27b8b16d54d3d712ecbe19c14568de94cf8319a6e50249d3a95b85c0a1dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "149b0f678236ab352a38e891366a6bc23816aa5541f00bd06a548178c5938b0a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-24T16:21:20Z",
    "title_canon_sha256": "56ac764d36eba7d26d7e8993a645ad5ead083f025f314d24a09e7564e3f7846b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26004",
    "kind": "arxiv",
    "version": 1
  }
}