Pith Number

pith:5XC4G32V

pith:2013:5XC4G32VRSIRLGXJPZM4OBUI7M

not attested not anchored not stored refs pending

Symmetry relations revealed in Mueller Matrix hemispherical maps

Adrian J. Brown, Yu Xie

arxiv:1307.1821 v2 · 2013-07-06 · 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{5XC4G32VRSIRLGXJPZM4OBUI7M}

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	2026-05-18T02:50:13.455840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edc5c36f558c91159ae97e59c70688fb3ea6045998cbd048558b44983fcc7968

Aliases

arxiv: 1307.1821 · arxiv_version: 1307.1821v2 · doi: 10.48550/arxiv.1307.1821 · pith_short_12: 5XC4G32VRSIR · pith_short_16: 5XC4G32VRSIRLGXJ · pith_short_8: 5XC4G32V

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/5XC4G32VRSIRLGXJPZM4OBUI7M \
  | 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: edc5c36f558c91159ae97e59c70688fb3ea6045998cbd048558b44983fcc7968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "883abfc9a4e59080e10002ef6135770877d47898f45f9fec0796040b9d735a74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-07-06T23:07:42Z",
    "title_canon_sha256": "6f14fd949732b2e4b0ecb86d0df758e9252b846390234ee8ccbaf77843df0ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1821",
    "kind": "arxiv",
    "version": 2
  }
}