Pith Number

pith:ZFK7UBIT

pith:2018:ZFK7UBITFX25BO4YEEKXCLKSML

not attested not anchored not stored refs pending

Random jumps and coalescence in the continuum: evolution of states of an infinite system

Krzysztof Pilorz, Yuri Kozitsky

arxiv:1807.07310 v1 · 2018-07-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFK7UBITFX25BO4YEEKXCLKSML}

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	2026-05-18T00:10:20.548759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c955fa05132df5d0bb982115712d5262cf7839e3dc93d2d2b52e851279dfeb36

Aliases

arxiv: 1807.07310 · arxiv_version: 1807.07310v1 · doi: 10.48550/arxiv.1807.07310 · pith_short_12: ZFK7UBITFX25 · pith_short_16: ZFK7UBITFX25BO4Y · pith_short_8: ZFK7UBIT

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/ZFK7UBITFX25BO4YEEKXCLKSML \
  | 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: c955fa05132df5d0bb982115712d5262cf7839e3dc93d2d2b52e851279dfeb36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8693923193161cfed6f47b811df281d5c9eeb6677764c9f84a3cbd72b42f194b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-19T09:25:01Z",
    "title_canon_sha256": "0ce7f7d09fa863f86d6d51e0b83ac02218959e3dad5cc2da705ec48c2f372c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07310",
    "kind": "arxiv",
    "version": 1
  }
}