Pith Number

pith:42VVHP7Y

pith:2026:42VVHP7YDARDCPMAU65CTJZU5D

not attested not anchored not stored refs pending

3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics

Masaki Fukuda, Ryo Yokokura, Tommy Shu

arxiv:2602.12648 v2 · 2026-02-13 · 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{42VVHP7YDARDCPMAU65CTJZU5D}

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	2026-05-21T01:04:23.239434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6ab53bff81822313d80a7ba29a734e8d7545d79e3b526146b0a8935e462dfd9

Aliases

arxiv: 2602.12648 · arxiv_version: 2602.12648v2 · doi: 10.48550/arxiv.2602.12648 · pith_short_12: 42VVHP7YDARD · pith_short_16: 42VVHP7YDARDCPMA · pith_short_8: 42VVHP7Y

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/42VVHP7YDARDCPMAU65CTJZU5D \
  | 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: e6ab53bff81822313d80a7ba29a734e8d7545d79e3b526146b0a8935e462dfd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4eb559cc8b390d1bbcfc672e101fd3e534ae76b26dbb35fcdd596ba586f04fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-02-13T06:13:48Z",
    "title_canon_sha256": "7ae11dd3d2a488d561edfec9842d13c8a20889d57d95101e2c7019a2d5cfe8b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.12648",
    "kind": "arxiv",
    "version": 2
  }
}