Pith Number

pith:BVC6X36C

pith:2012:BVC6X36CMZBERPLKMJL65MK4GN

not attested not anchored not stored refs pending

Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability

Blake Barker, Heinrich Freist\"uhler, Kevin Zumbrun

arxiv:1211.4489 v1 · 2012-11-19 · 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{BVC6X36CMZBERPLKMJL65MK4GN}

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	2026-05-18T03:40:26.730849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d45ebefc2664248bd6a6257eeb15c33561d6998d16fb85f1ccb2136b5ae9a05

Aliases

arxiv: 1211.4489 · arxiv_version: 1211.4489v1 · doi: 10.48550/arxiv.1211.4489 · pith_short_12: BVC6X36CMZBE · pith_short_16: BVC6X36CMZBERPLK · pith_short_8: BVC6X36C

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/BVC6X36CMZBERPLKMJL65MK4GN \
  | 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: 0d45ebefc2664248bd6a6257eeb15c33561d6998d16fb85f1ccb2136b5ae9a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2995e00faacd9ffb44493851f715931a4616c3503be2cca68dc7f0ea168147b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-19T16:41:20Z",
    "title_canon_sha256": "9d21e5dc36f71e591901261217f7d9cbd330ac470806876c5516effdbadbf953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4489",
    "kind": "arxiv",
    "version": 1
  }
}