Pith Number

pith:BTTLJXYA

pith:2012:BTTLJXYA4OLD7BFSSHG73LWWBW

not attested not anchored not stored refs pending

Hamiltonian description of singular Lagrangian systems with spontaneously broken time translation symmetry

Liu Zhao, Pengfei Yu, Wei Xu

arxiv:1206.2983 v2 · 2012-06-14 · 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{BTTLJXYA4OLD7BFSSHG73LWWBW}

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	2026-05-18T03:36:04.489846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ce6b4df00e3963f84b291cdfdaed60da688e96bfba04ea5b216d3121c9cb3a7

Aliases

arxiv: 1206.2983 · arxiv_version: 1206.2983v2 · doi: 10.48550/arxiv.1206.2983 · pith_short_12: BTTLJXYA4OLD · pith_short_16: BTTLJXYA4OLD7BFS · pith_short_8: BTTLJXYA

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/BTTLJXYA4OLD7BFSSHG73LWWBW \
  | 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: 0ce6b4df00e3963f84b291cdfdaed60da688e96bfba04ea5b216d3121c9cb3a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4e242e21b0ffca078e70b9c035da01286509fec6fcbb1bdf937cab3125f0322",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-06-14T01:17:31Z",
    "title_canon_sha256": "da8528aa396c033844130eea82058cd8ababba78a06f65711624d3e39a43a311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2983",
    "kind": "arxiv",
    "version": 2
  }
}