Pith Number

pith:ZAWNBBFP

pith:2012:ZAWNBBFPC47RLSPBNBK46ZS6WL

not attested not anchored not stored refs pending

Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions

Guy Metivier, Kevin Zumbrun, Mark Williams, Olivier Gues

arxiv:1207.6782 v1 · 2012-07-29 · 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{ZAWNBBFPC47RLSPBNBK46ZS6WL}

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	2026-05-18T03:49:48.722747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c82cd084af173f15c9e16855cf665eb2db1d9b7e4702454bbf6cef52b5f5dafa

Aliases

arxiv: 1207.6782 · arxiv_version: 1207.6782v1 · doi: 10.48550/arxiv.1207.6782 · pith_short_12: ZAWNBBFPC47R · pith_short_16: ZAWNBBFPC47RLSPB · pith_short_8: ZAWNBBFP

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/ZAWNBBFPC47RLSPBNBK46ZS6WL \
  | 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: c82cd084af173f15c9e16855cf665eb2db1d9b7e4702454bbf6cef52b5f5dafa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1238aca91dc5fa9a82792ac0e9306d7fd2716e8ce684e2a97ceed0bd0d6efe7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-29T15:35:21Z",
    "title_canon_sha256": "7be3dd523852b8618bee0fea43578b7000244f478c1f15df1e9880b0570759a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6782",
    "kind": "arxiv",
    "version": 1
  }
}