Pith Number

pith:GRIZ5KG3

pith:2014:GRIZ5KG3IQKDY7FCNISFNNCKWZ

not attested not anchored not stored refs pending

Strong solutions of non-colliding particle systems

Jacek Malecki, Piotr Graczyk

arxiv:1407.1329 v1 · 2014-07-04 · 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{GRIZ5KG3IQKDY7FCNISFNNCKWZ}

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	2026-05-18T02:48:16.812693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34519ea8db44143c7ca26a2456b44ab65e01a7fd576d9370418e502973475bad

Aliases

arxiv: 1407.1329 · arxiv_version: 1407.1329v1 · doi: 10.48550/arxiv.1407.1329 · pith_short_12: GRIZ5KG3IQKD · pith_short_16: GRIZ5KG3IQKDY7FC · pith_short_8: GRIZ5KG3

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/GRIZ5KG3IQKDY7FCNISFNNCKWZ \
  | 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: 34519ea8db44143c7ca26a2456b44ab65e01a7fd576d9370418e502973475bad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a16df34b5bdb4e45cb9f3091dcd104969b56ccc0ad7c93f5c280c2c3cb7c93b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-04T21:07:13Z",
    "title_canon_sha256": "20ec0b2cabc800eea7cac18a5b82f60af715048c87773a9651e99914cfcb489a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1329",
    "kind": "arxiv",
    "version": 1
  }
}