Pith Number

pith:X2NCRUSN

pith:2016:X2NCRUSNWMC2XMCYV6N2SUHZPT

not attested not anchored not stored refs pending

PT-symmetric spectral singularity and negative frequency resonance

Farhad Khosravi, Sarang Pendharker, Yu Guo, Zubin Jacob

arxiv:1612.02050 v1 · 2016-12-06 · 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{X2NCRUSNWMC2XMCYV6N2SUHZPT}

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	2026-05-18T00:48:15.942754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be9a28d24db305abb058af9ba950f97cfb10cd26d36498fdb091ffbd9e50968b

Aliases

arxiv: 1612.02050 · arxiv_version: 1612.02050v1 · doi: 10.48550/arxiv.1612.02050 · pith_short_12: X2NCRUSNWMC2 · pith_short_16: X2NCRUSNWMC2XMCY · pith_short_8: X2NCRUSN

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/X2NCRUSNWMC2XMCYV6N2SUHZPT \
  | 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: be9a28d24db305abb058af9ba950f97cfb10cd26d36498fdb091ffbd9e50968b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6de9ca017d475c5500296fdcfdf46a20597c5c63089e9b60966c7750abf14b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-12-06T22:06:33Z",
    "title_canon_sha256": "8404139b819a00cfc0e7fe63272e02e84a050e778059a9c3d1ca9dcbb12d09b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02050",
    "kind": "arxiv",
    "version": 1
  }
}