Pith Number

pith:W45GCNI2

pith:2014:W45GCNI2ECUCJ5QAL4J6V3JUSQ

not attested not anchored not stored refs pending

Effects of microscopic dynamics on Brownian coagulation

Guolong Li

arxiv:1412.5645 v11 · 2014-12-17 · 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{W45GCNI2ECUCJ5QAL4J6V3JUSQ}

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	2026-05-18T01:01:02.019239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73a61351a20a824f6005f13eaed3494325b12f776209080e3dc4b2813fc81da

Aliases

arxiv: 1412.5645 · arxiv_version: 1412.5645v11 · doi: 10.48550/arxiv.1412.5645 · pith_short_12: W45GCNI2ECUC · pith_short_16: W45GCNI2ECUCJ5QA · pith_short_8: W45GCNI2

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/W45GCNI2ECUCJ5QAL4J6V3JUSQ \
  | 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: b73a61351a20a824f6005f13eaed3494325b12f776209080e3dc4b2813fc81da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07aec61aaffbde3c40b73ac38d3168055537d93886fe5f9cba19ac387c7b31e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-17T22:06:26Z",
    "title_canon_sha256": "0dce91f2e6a176af221c9549375d9fb9e0f4c6b26b6d222bdacd28f38fb4de98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5645",
    "kind": "arxiv",
    "version": 11
  }
}