Pith Number

pith:HJPTCQY7

pith:2015:HJPTCQY7RZH3ZG5WJRJEEFUX3U

not attested not anchored not stored refs pending

On Collision Invariants for Linear Scattering

Laure Saint-Raymond, Mark Wilkinson

arxiv:1507.07601 v1 · 2015-07-27 · math-ph · math.AP · math.CA · math.MP · physics.class-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJPTCQY7RZH3ZG5WJRJEEFUX3U}

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	2026-05-18T01:36:12.368523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5f31431f8e4fbc9bb64c52421697dd1ee956930f52219351db64dd1c83d275

Aliases

arxiv: 1507.07601 · arxiv_version: 1507.07601v1 · doi: 10.48550/arxiv.1507.07601 · pith_short_12: HJPTCQY7RZH3 · pith_short_16: HJPTCQY7RZH3ZG5W · pith_short_8: HJPTCQY7

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/HJPTCQY7RZH3ZG5WJRJEEFUX3U \
  | 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: 3a5f31431f8e4fbc9bb64c52421697dd1ee956930f52219351db64dd1c83d275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a25e64bdcbe15ad5bbbcae5659295f99d1c22c263178dd61ddb94a9ddc265647",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-27T23:25:00Z",
    "title_canon_sha256": "f19397b765db1d9a8f44702ff56410d6d25d21b63912ea1e6224b782c5af0e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07601",
    "kind": "arxiv",
    "version": 1
  }
}