Pith Number

pith:2XKKQGEU

pith:2010:2XKKQGEUIOECZ4XT72KZ5DV4GK

not attested not anchored not stored refs pending

Covariantizing Classical Field Theories

Marco Castrill\'on L\'opez, Mark J. Gotay

arxiv:1008.3170 v1 · 2010-08-18 · 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{2XKKQGEUIOECZ4XT72KZ5DV4GK}

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	2026-05-18T04:42:03.177348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d4a8189443882cf2f3fe959e8ebc32976799cc85240d1de0b82af7142c5fcb

Aliases

arxiv: 1008.3170 · arxiv_version: 1008.3170v1 · doi: 10.48550/arxiv.1008.3170 · pith_short_12: 2XKKQGEUIOEC · pith_short_16: 2XKKQGEUIOECZ4XT · pith_short_8: 2XKKQGEU

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/2XKKQGEUIOECZ4XT72KZ5DV4GK \
  | 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: d5d4a8189443882cf2f3fe959e8ebc32976799cc85240d1de0b82af7142c5fcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "850bf049bb8e80fe7207d9e28b96c6af327fb2aa536ad3b0b2300c9888b9d6e3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-18T20:12:05Z",
    "title_canon_sha256": "c833aa67e34f4ea43876b00b14e2ec98a1721d8e31231aa38119e407d1bd7513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3170",
    "kind": "arxiv",
    "version": 1
  }
}