Pith Number

pith:4UB3TYCY

pith:2021:4UB3TYCYQJQAEBNV4WZGLDYG4K

not attested not anchored not stored refs pending

Barnich-Troessaert Bracket as a Dirac Bracket on the Covariant Phase Space

Wolfgang Wieland

arxiv:2104.08377 v3 · 2021-04-16 · hep-th · 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{4UB3TYCYQJQAEBNV4WZGLDYG4K}

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.

Cited by

1 paper in Pith

Carrollian Perspective on Celestial Holography

Receipt and verification

First computed	2026-07-05T03:45:29.778251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e503b9e05882600205b5e5b2658f06e28fd6dca3a1e771648987da94dde130b6

Aliases

arxiv: 2104.08377 · arxiv_version: 2104.08377v3 · doi: 10.48550/arxiv.2104.08377 · pith_short_12: 4UB3TYCYQJQA · pith_short_16: 4UB3TYCYQJQAEBNV · pith_short_8: 4UB3TYCY

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/4UB3TYCYQJQAEBNV4WZGLDYG4K \
  | 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: e503b9e05882600205b5e5b2658f06e28fd6dca3a1e771648987da94dde130b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1aa94f9cc14591b9e80efdfb9176c8c6ae87cfb71647e1f2395e68c3c77f3ee",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-04-16T21:25:59Z",
    "title_canon_sha256": "fff05ec6e63379dd6f9c0842fed2bcf12ffd43fb58d5b51514b4609711aefb25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.08377",
    "kind": "arxiv",
    "version": 3
  }
}