Pith Number

pith:53E7CJPC

pith:2011:53E7CJPCXREUKPPIRH27LSTLYH

not attested not anchored not stored refs pending

From homogenization to averaging in cellular flows

Alexei Novikov, Gautam Iyer, Lenya Ryzhik, Tomasz Komorowski

arxiv:1108.0074 v2 · 2011-07-30 · 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{53E7CJPCXREUKPPIRH27LSTLYH}

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	2026-05-18T02:21:42.547864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec9f125e2bc49453de889f5f5ca6bc1feda6ee95f5048e919b5be8966d751c6

Aliases

arxiv: 1108.0074 · arxiv_version: 1108.0074v2 · doi: 10.48550/arxiv.1108.0074 · pith_short_12: 53E7CJPCXREU · pith_short_16: 53E7CJPCXREUKPPI · pith_short_8: 53E7CJPC

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/53E7CJPCXREUKPPIRH27LSTLYH \
  | 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: eec9f125e2bc49453de889f5f5ca6bc1feda6ee95f5048e919b5be8966d751c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbabfeaa3e3c8f0a0fb0e040309143d73608fe822604f927c9070e4560cd815f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-30T15:03:06Z",
    "title_canon_sha256": "a6c567efd8dc6328d931de25ebdbac9c7dcf123a50a6de7e2c24f377f967dd02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0074",
    "kind": "arxiv",
    "version": 2
  }
}