Pith Number

pith:BP2XF74M

pith:2021:BP2XF74MUDDD6NCEN5X4TWRS6I

not attested not anchored not stored refs pending

Spectral action and the electroweak $\theta$-terms for the Standard Model without fermion doubling

Andrzej Sitarz, Arkadiusz Bochniak, Pawe{\l} Zalecki

arxiv:2106.10890 v3 · 2021-06-21 · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BP2XF74MUDDD6NCEN5X4TWRS6I}

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	2026-07-05T05:07:33.687288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf572ff8ca0c63f34446f6fc9da32f20b3035aed72111f5afd0b45078258762

Aliases

arxiv: 2106.10890 · arxiv_version: 2106.10890v3 · doi: 10.48550/arxiv.2106.10890 · pith_short_12: BP2XF74MUDDD · pith_short_16: BP2XF74MUDDD6NCE · pith_short_8: BP2XF74M

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/BP2XF74MUDDD6NCEN5X4TWRS6I \
  | 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: 0bf572ff8ca0c63f34446f6fc9da32f20b3035aed72111f5afd0b45078258762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cffa0d982cc65579244c6b12aabb88d48808e1c350f93c8149c156a67c3fda4c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-06-21T07:08:49Z",
    "title_canon_sha256": "1f34050d817ca290de22b4a286aa18baf66a32228868e5f12e599081d6f3c611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10890",
    "kind": "arxiv",
    "version": 3
  }
}