Pith. sign in
Pith Number

pith:I4AHVYPX

pith:2021:I4AHVYPXVJDHXRGRZUZWV6J4X4
not attested not anchored not stored refs pending

Positivity vs. Lorentz-violation: an explicit example

Katsuki Aoki, Ryo Namba, Shinji Mukohyama

arxiv:2107.01755 v2 · 2021-07-05 · hep-th · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{I4AHVYPXVJDHXRGRZUZWV6J4X4}

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 2026-07-05T03:28:20.677576Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

47007ae1f7aa467bc4d1cd336af93cbf0b94850c0b2ae62c95e342ea7e91cf5a

Aliases

arxiv: 2107.01755 · arxiv_version: 2107.01755v2 · doi: 10.48550/arxiv.2107.01755 · pith_short_12: I4AHVYPXVJDH · pith_short_16: I4AHVYPXVJDHXRGR · pith_short_8: I4AHVYPX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/I4AHVYPXVJDHXRGRZUZWV6J4X4 \
  | 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: 47007ae1f7aa467bc4d1cd336af93cbf0b94850c0b2ae62c95e342ea7e91cf5a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6686f3bdd3e12e1deea8852ab9337ae236b8c6a430c4e2f193f1984c44b4b074",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-07-05T01:39:42Z",
    "title_canon_sha256": "ce527375f31ad04df21bbf78ff4fdbd7c60b7730745dbdd1ae0646bab0940f65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01755",
    "kind": "arxiv",
    "version": 2
  }
}