Pith Number

pith:77Q4OMRK

pith:2012:77Q4OMRKBGQNZHPL4PO2VZHN5V

not attested not anchored not stored refs pending

Zitterbewegung and gravitational Berry phase

Giorgio Papini

arxiv:1202.5716 v1 · 2012-02-26 · gr-qc · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77Q4OMRKBGQNZHPL4PO2VZHN5V}

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	2026-05-18T01:58:19.650021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe1c7322a09a0dc9debe3ddaae4eded42843df86c04bbd9872fd0c87219d8e5

Aliases

arxiv: 1202.5716 · arxiv_version: 1202.5716v1 · doi: 10.48550/arxiv.1202.5716 · pith_short_12: 77Q4OMRKBGQN · pith_short_16: 77Q4OMRKBGQNZHPL · pith_short_8: 77Q4OMRK

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/77Q4OMRKBGQNZHPL4PO2VZHN5V \
  | 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: ffe1c7322a09a0dc9debe3ddaae4eded42843df86c04bbd9872fd0c87219d8e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd1c94fd37934136f7deb3b5e383d9684793d967b3f4102b836c2d5e17fb09ed",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-02-26T02:06:48Z",
    "title_canon_sha256": "50e1b253e6d2d16f0924023d03c57cd1dd0258db8e7a14d7d7309661982162b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5716",
    "kind": "arxiv",
    "version": 1
  }
}