Pith Number

pith:W6J2BIPM

pith:2012:W6J2BIPMBVXR6NLJDAVZUSEKOD

not attested not anchored not stored refs pending

Homogenization of weakly coupled systems of Hamilton--Jacobi equations with fast switching rates

Hiroyoshi Mitake, Hung V. Tran

arxiv:1204.2748 v2 · 2012-04-12 · 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{W6J2BIPMBVXR6NLJDAVZUSEKOD}

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	2026-05-18T01:57:53.087812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b793a0a1ec0d6f1f3569182b9a488a70f3b2e36323c5fb64fcb616ea7b053d9c

Aliases

arxiv: 1204.2748 · arxiv_version: 1204.2748v2 · doi: 10.48550/arxiv.1204.2748 · pith_short_12: W6J2BIPMBVXR · pith_short_16: W6J2BIPMBVXR6NLJ · pith_short_8: W6J2BIPM

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/W6J2BIPMBVXR6NLJDAVZUSEKOD \
  | 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: b793a0a1ec0d6f1f3569182b9a488a70f3b2e36323c5fb64fcb616ea7b053d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a928485a165553f2efcf9b879b5d50c52e12e3bdb53816132e5fe83628236c4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-12T15:10:25Z",
    "title_canon_sha256": "18f2fa645129299d22b961cebd5c5825bd63d2a9c4bfded1d82e4977fb1a0bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2748",
    "kind": "arxiv",
    "version": 2
  }
}