Pith Number

pith:C4XJ77Y2

pith:2026:C4XJ77Y2YKTWE7EPYLACWMREGY

not attested not anchored not stored refs pending

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions

Changhui Tan, Trevor M. Leslie

arxiv:2606.04785 v1 · 2026-06-03 · 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{C4XJ77Y2YKTWE7EPYLACWMREGY}

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	2026-06-04T01:09:29.834634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

172e9fff1ac2a7627c8fc2c02b3224363d3cd33e161da7346273b868c27e73c2

Aliases

arxiv: 2606.04785 · arxiv_version: 2606.04785v1 · doi: 10.48550/arxiv.2606.04785 · pith_short_12: C4XJ77Y2YKTW · pith_short_16: C4XJ77Y2YKTWE7EP · pith_short_8: C4XJ77Y2

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/C4XJ77Y2YKTWE7EPYLACWMREGY \
  | 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: 172e9fff1ac2a7627c8fc2c02b3224363d3cd33e161da7346273b868c27e73c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "209840eb82209767eec760e1bf5722180382df66527ece3977a40387d489c211",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-03T12:06:28Z",
    "title_canon_sha256": "1f8a2a614c17c5b6660eb8e5b6496f908dd2ba1f97c56bcce58db48ab047409b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04785",
    "kind": "arxiv",
    "version": 1
  }
}