Pith Number

pith:CRLZRZSZ

pith:2015:CRLZRZSZWMJ2X5KT3CBMJKRE2K

not attested not anchored not stored refs pending

Resonant-state expansion for a simple dispersive medium

E.A. Muljarov, M.B. Doost, W. Langbein

arxiv:1508.03851 v1 · 2015-08-16 · 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{CRLZRZSZWMJ2X5KT3CBMJKRE2K}

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	2026-05-18T01:35:15.061273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145798e659b313abf553d882c4aa24d2aa96fb532ae43d0fb80f7dc7563d136e

Aliases

arxiv: 1508.03851 · arxiv_version: 1508.03851v1 · doi: 10.48550/arxiv.1508.03851 · pith_short_12: CRLZRZSZWMJ2 · pith_short_16: CRLZRZSZWMJ2X5KT · pith_short_8: CRLZRZSZ

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/CRLZRZSZWMJ2X5KT3CBMJKRE2K \
  | 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: 145798e659b313abf553d882c4aa24d2aa96fb532ae43d0fb80f7dc7563d136e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "616ed9cb213fa28459b3235d20be5dae602d2dfb2c62c1b9f12af889d483f685",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-08-16T17:39:04Z",
    "title_canon_sha256": "886892c17b49cd570c8279a44386bd7b436eef842e7ff2d7b156d75c5634338c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03851",
    "kind": "arxiv",
    "version": 1
  }
}