Pith Number

pith:3H7OGHZU

pith:2009:3H7OGHZUJWOMNG4KQU65U2D4AG

not attested not anchored not stored refs pending

Lorentz Covariant k-Minkowski Spacetime

Gherardo Piacitelli, Ludwik Dabrowski, Michal Godlinski

arxiv:0912.5451 v3 · 2009-12-30 · 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{3H7OGHZUJWOMNG4KQU65U2D4AG}

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	2026-05-18T02:33:50.477878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9fee31f344d9cc69b8a853dda687c01a2eaa69f8a86cc96a86375958d079ced

Aliases

arxiv: 0912.5451 · arxiv_version: 0912.5451v3 · doi: 10.48550/arxiv.0912.5451 · pith_short_12: 3H7OGHZUJWOM · pith_short_16: 3H7OGHZUJWOMNG4K · pith_short_8: 3H7OGHZU

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/3H7OGHZUJWOMNG4KQU65U2D4AG \
  | 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: d9fee31f344d9cc69b8a853dda687c01a2eaa69f8a86cc96a86375958d079ced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "171978555e7a7605d15c7385395b2b0e99c4e848c896395cf14f59dcc1ab7242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-12-30T12:20:29Z",
    "title_canon_sha256": "0e16af7509e29fd2e8754c228e1f9a8b15f5471a717ff58f5048506367aa6165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5451",
    "kind": "arxiv",
    "version": 3
  }
}