Pith Number

pith:JRPVBKHL

pith:2018:JRPVBKHLZX65E23ESZBIDL3NCP

not attested not anchored not stored refs pending

Refractors in anisotropic media associated with norms

Cristian E. Gutierrez, Henok Mawi, Qingbo Huang

arxiv:1806.00371 v1 · 2018-06-01 · math.AP · cond-mat.mtrl-sci · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRPVBKHLZX65E23ESZBIDL3NCP}

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	2026-05-18T00:14:23.844892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5f50a8ebcdfdd26b64964281af6d13d282eebe7bb498820415e8c9ab2c63d7

Aliases

arxiv: 1806.00371 · arxiv_version: 1806.00371v1 · doi: 10.48550/arxiv.1806.00371 · pith_short_12: JRPVBKHLZX65 · pith_short_16: JRPVBKHLZX65E23E · pith_short_8: JRPVBKHL

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/JRPVBKHLZX65E23ESZBIDL3NCP \
  | 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: 4c5f50a8ebcdfdd26b64964281af6d13d282eebe7bb498820415e8c9ab2c63d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b8b1db07a07a5e071f215e6040725024c38ccc32e672bdbd94e376bf4b7d4c",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-01T14:27:07Z",
    "title_canon_sha256": "884120613abd4af78c7aff08ffae4a11aca7ddfcc2b49e9da8a187874e2f9b21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00371",
    "kind": "arxiv",
    "version": 1
  }
}