Pith Number

pith:3OAW4J33

pith:2014:3OAW4J33J3PMT74P5AYILHI2VA

not attested not anchored not stored refs pending

From averaging to homogenization in cellular flows - an exact description of the transition

Leonid Koralov, Martin Hairer, Zsolt Pajor-Gyulai

arxiv:1407.0982 v1 · 2014-07-03 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OAW4J33J3PMT74P5AYILHI2VA}

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	2026-05-18T02:48:25.009708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db816e277b4edec9ff8fe830859d1aa832e009d71d66e4ab793c6c33f502aaa8

Aliases

arxiv: 1407.0982 · arxiv_version: 1407.0982v1 · doi: 10.48550/arxiv.1407.0982 · pith_short_12: 3OAW4J33J3PM · pith_short_16: 3OAW4J33J3PMT74P · pith_short_8: 3OAW4J33

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/3OAW4J33J3PMT74P5AYILHI2VA \
  | 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: db816e277b4edec9ff8fe830859d1aa832e009d71d66e4ab793c6c33f502aaa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc118e783e7265f0fcf583ca61f73eb9e37f22ac39ff0f29521f1825f2d8ca37",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-03T16:42:29Z",
    "title_canon_sha256": "02526b04651c32232ab8966765cd31cd35aa28b9a9f628c4ca55e0286ba06bd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0982",
    "kind": "arxiv",
    "version": 1
  }
}