Pith Number

pith:PY3O62FO

pith:2012:PY3O62FOJLQGZ5QGUPWPKVLZH6

not attested not anchored not stored refs pending

Phase transitions in the time synchronization model

Anatoly Manita, Vadim Malyshev

arxiv:1201.3550 v1 · 2012-01-17 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PY3O62FOJLQGZ5QGUPWPKVLZH6}

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	2026-05-18T04:04:28.956247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e36ef68ae4ae06cf606a3ecf555793f90edfbcd9513a41ad607f6165e3ff2d7

Aliases

arxiv: 1201.3550 · arxiv_version: 1201.3550v1 · doi: 10.48550/arxiv.1201.3550 · pith_short_12: PY3O62FOJLQG · pith_short_16: PY3O62FOJLQGZ5QG · pith_short_8: PY3O62FO

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/PY3O62FOJLQGZ5QGUPWPKVLZH6 \
  | 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: 7e36ef68ae4ae06cf606a3ecf555793f90edfbcd9513a41ad607f6165e3ff2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59a3ebc57e9b98beeb3b34e2bee860516ce8c04e19ce50fe9a75432915b3078",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-17T16:30:00Z",
    "title_canon_sha256": "06b2abca5829605ac121c547a1160b1d24575379b1dbfe51fae4d50357d20440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3550",
    "kind": "arxiv",
    "version": 1
  }
}