Pith Number

pith:ATJOVRIW

pith:2026:ATJOVRIWKJBW6LDHVXKCQ2END5

not attested not anchored not stored refs pending

Vector modes in Type 3 New GR

Alexey Golovnev

arxiv:2605.22329 v1 · 2026-05-21 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATJOVRIWKJBW6LDHVXKCQ2END5}

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	2026-05-22T01:04:38.044890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04d2eac51652436f2c67add428688d1f404e024643d0a7542fc84c93050e41c9

Aliases

arxiv: 2605.22329 · arxiv_version: 2605.22329v1 · doi: 10.48550/arxiv.2605.22329 · pith_short_12: ATJOVRIWKJBW · pith_short_16: ATJOVRIWKJBW6LDH · pith_short_8: ATJOVRIW

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/ATJOVRIWKJBW6LDHVXKCQ2END5 \
  | 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: 04d2eac51652436f2c67add428688d1f404e024643d0a7542fc84c93050e41c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb3d0b26d0e981b16eccdab11123a6bf819afbccb8b89450e778ddbbd9a712b",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-21T11:18:39Z",
    "title_canon_sha256": "3bcd0d5c500e8e984b92797ea888dee8ad7e834cdff22e3800e98e90cdd9acf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22329",
    "kind": "arxiv",
    "version": 1
  }
}