Pith Number

pith:5QVIWS4L

pith:2014:5QVIWS4LZTZ47H7RKD6O23MXAT

not attested not anchored not stored refs pending

O(2) Hopf bifurcation of viscous shock waves in a channel

Alin Pogan, Jinghua Yao, Kevin Zumbrun

arxiv:1401.2197 v1 · 2014-01-09 · 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{5QVIWS4LZTZ47H7RKD6O23MXAT}

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	2026-05-18T00:56:53.222859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec2a8b4b8bccf3cf9ff150fced6d9704d1daf6f8792d0b7fb9fbc31a84abfcee

Aliases

arxiv: 1401.2197 · arxiv_version: 1401.2197v1 · doi: 10.48550/arxiv.1401.2197 · pith_short_12: 5QVIWS4LZTZ4 · pith_short_16: 5QVIWS4LZTZ47H7R · pith_short_8: 5QVIWS4L

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/5QVIWS4LZTZ47H7RKD6O23MXAT \
  | 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: ec2a8b4b8bccf3cf9ff150fced6d9704d1daf6f8792d0b7fb9fbc31a84abfcee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4869370ae02ce58876009742601f3393e17ceca1152c70a4eb320815238402cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-09T22:46:59Z",
    "title_canon_sha256": "2fb36d6c161be5477e5a6cf599c008104a4bd2b79ad9ad96a089ac52cd43eee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2197",
    "kind": "arxiv",
    "version": 1
  }
}