Pith Number

pith:E5BSTQNF

pith:2011:E5BSTQNFC7HY6IBUAA4PCTW2GB

not attested not anchored not stored refs pending

Snell's law for particles moving on piecewise homogeneous two dimensional surface with linear boundaries

Pratik Mandrekar, Toby Joseph

arxiv:1106.0819 v1 · 2011-06-04 · physics.class-ph · physics.bio-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{E5BSTQNFC7HY6IBUAA4PCTW2GB}

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	2026-05-18T04:20:37.375088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

274329c1a517cf8f20340038f14eda30720b1a5d68639e01509cfd6e77d98152

Aliases

arxiv: 1106.0819 · arxiv_version: 1106.0819v1 · doi: 10.48550/arxiv.1106.0819 · pith_short_12: E5BSTQNFC7HY · pith_short_16: E5BSTQNFC7HY6IBU · pith_short_8: E5BSTQNF

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/E5BSTQNFC7HY6IBUAA4PCTW2GB \
  | 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: 274329c1a517cf8f20340038f14eda30720b1a5d68639e01509cfd6e77d98152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d1d6b09af543c01f31343ac8e87c82b34898bbe1bc0bb78faf104c7a2d4b21a",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2011-06-04T13:01:40Z",
    "title_canon_sha256": "12b91a35c608569d1abdc4fe4b079a679e437ca65035cc1b41b90e9fcc149306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0819",
    "kind": "arxiv",
    "version": 1
  }
}