Pith Number

pith:C5MPJQE2

pith:2015:C5MPJQE2MDV5JEUT2XHGVF6YW7

not attested not anchored not stored refs pending

Zooming in on Quantum Trajectories

Antoine Tilloy, Denis Bernard, Michel Bauer

arxiv:1512.02861 v1 · 2015-12-09 · quant-ph · 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{C5MPJQE2MDV5JEUT2XHGVF6YW7}

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	2026-05-18T01:21:36.707200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1758f4c09a60ebd49293d5ce6a97d8b7edfcd6a8ec9eb1351fdbb9ca1e3dff79

Aliases

arxiv: 1512.02861 · arxiv_version: 1512.02861v1 · doi: 10.48550/arxiv.1512.02861 · pith_short_12: C5MPJQE2MDV5 · pith_short_16: C5MPJQE2MDV5JEUT · pith_short_8: C5MPJQE2

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/C5MPJQE2MDV5JEUT2XHGVF6YW7 \
  | 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: 1758f4c09a60ebd49293d5ce6a97d8b7edfcd6a8ec9eb1351fdbb9ca1e3dff79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc44cccdf4390d73ed0987c2cf64a57a6b1a7836240889eec92e0e614cf490be",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-09T14:12:27Z",
    "title_canon_sha256": "ab18068c2aa2000194de86f3819277b3259128f60f032e9fb768dd20bfd849df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02861",
    "kind": "arxiv",
    "version": 1
  }
}