Pith Number

pith:ABALJVJI

pith:2026:ABALJVJIM7LSGZT7JU5LBKA53J

not attested not anchored not stored refs pending

Global bifurcation for steady viscous roll waves on an incline

Daniel Abraham, Miles H. Wheeler

arxiv:2607.21142 v1 · 2026-07-23 · 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{ABALJVJIM7LSGZT7JU5LBKA53J}

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	2026-07-24T01:23:55.292606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0040b4d52867d723667f4d3ab0a81dda75db263c48eb4eb803bced8ba7fc94e7

Aliases

arxiv: 2607.21142 · arxiv_version: 2607.21142v1 · doi: 10.48550/arxiv.2607.21142 · pith_short_12: ABALJVJIM7LS · pith_short_16: ABALJVJIM7LSGZT7 · pith_short_8: ABALJVJI

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/ABALJVJIM7LSGZT7JU5LBKA53J \
  | 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: 0040b4d52867d723667f4d3ab0a81dda75db263c48eb4eb803bced8ba7fc94e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0e7173fbd26778ee38d83cdd55a88538f98bdbbc09846192784f7a20a324e6e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-23T10:19:43Z",
    "title_canon_sha256": "ec4fc9f2296a634d1481f0d792805b2b1d0a4be7fda747fedc09c554f219d80e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21142",
    "kind": "arxiv",
    "version": 1
  }
}