Pith Number

pith:D6N54RKS

pith:2012:D6N54RKSLVWMYV7O2U3FFEFAHE

not attested not anchored not stored refs pending

Stochastic averaging lemmas for kinetic equations

Benoit Perthame (LJLL, INRIA Rocquencourt), Panagiotis E. Souganidis, Pierre-Louis Lions (CEREMADE)

arxiv:1204.0317 v1 · 2012-04-02 · 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{D6N54RKSLVWMYV7O2U3FFEFAHE}

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	2026-05-18T03:58:49.642113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9bde45525d6ccc57eed5365290a0391bb38346479bc591fee0f1642f2f3d31

Aliases

arxiv: 1204.0317 · arxiv_version: 1204.0317v1 · doi: 10.48550/arxiv.1204.0317 · pith_short_12: D6N54RKSLVWM · pith_short_16: D6N54RKSLVWMYV7O · pith_short_8: D6N54RKS

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/D6N54RKSLVWMYV7O2U3FFEFAHE \
  | 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: 1f9bde45525d6ccc57eed5365290a0391bb38346479bc591fee0f1642f2f3d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8c6112ea76671ae9080114b822fa15a362f3510defe8d238b8f6c165930284",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-02T06:25:53Z",
    "title_canon_sha256": "29c35efc9744ae746cc74d471b2d81ce79724a47093663f988b044768d03179a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0317",
    "kind": "arxiv",
    "version": 1
  }
}