Pith Number

pith:MYTLZV6R

pith:2006:MYTLZV6RTXHT6UICR5F7WTUNRA

not attested not anchored not stored refs pending

The flight of the bumblebee: solutions from a vector-induced spontaneous Lorentz symmetry breaking model

Jorge Paramos, Orfeu Bertolami

arxiv:gr-qc/0603057 v3 · 2006-03-14 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MYTLZV6RTXHT6UICR5F7WTUNRA}

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	2026-07-04T17:01:26.613716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6626bcd7d19dcf3f51028f4bfb4e8d8813b37cde63ddbf9337a6ed46a5e27cba

Aliases

arxiv: gr-qc/0603057 · arxiv_version: gr-qc/0603057v3 · doi: 10.48550/arxiv.gr-qc/0603057 · pith_short_12: MYTLZV6RTXHT · pith_short_16: MYTLZV6RTXHT6UIC · pith_short_8: MYTLZV6R

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/MYTLZV6RTXHT6UICR5F7WTUNRA \
  | 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: 6626bcd7d19dcf3f51028f4bfb4e8d8813b37cde63ddbf9337a6ed46a5e27cba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1da5a0fb18693aa01cbad00949826d42888400d0e40295668a5956d8cbb0b3ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-03-14T23:42:47Z",
    "title_canon_sha256": "967f88afb0ed1c18a3429d6ad227b0aa37cb76520f3906e7500680c77449a3c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0603057",
    "kind": "arxiv",
    "version": 3
  }
}