Pith Number

pith:JKZ32FQZ

pith:2026:JKZ32FQZALRJI7V4E5NHZBQFAK

not attested not anchored not stored refs pending

Shock solutions for the one-dimensional information geometric regularization of compressible flow

Ben S. Southworth, Brian K. Tran, Florian Sch\"afer, William Barham

arxiv:2607.12693 v1 · 2026-07-14 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKZ32FQZALRJI7V4E5NHZBQFAK}

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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.

Cited by

1 paper in Pith

Information geometric regularization for computing sensitivities of flows with shocks

Receipt and verification

First computed	2026-07-15T01:22:12.466915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab3bd161902e2947ebc275a7c860502a35d49e1c195d343bad7ce0cb21512fe

Aliases

arxiv: 2607.12693 · arxiv_version: 2607.12693v1 · doi: 10.48550/arxiv.2607.12693 · pith_short_12: JKZ32FQZALRJ · pith_short_16: JKZ32FQZALRJI7V4 · pith_short_8: JKZ32FQZ

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/JKZ32FQZALRJI7V4E5NHZBQFAK \
  | 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: 4ab3bd161902e2947ebc275a7c860502a35d49e1c195d343bad7ce0cb21512fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e02c3ca3eeba6506b48c4cbe75f05bc160a8cd560f2763a37b45de721567b62c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-14T12:21:10Z",
    "title_canon_sha256": "dc5a1e14d8c59fe736230794bf73b2579bb0a81fa4e2d8264a587b01863e03c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12693",
    "kind": "arxiv",
    "version": 1
  }
}