Pith Number

pith:GMCCADG4

pith:2015:GMCCADG4JDBVHUE7MFSQBD3C3U

not attested not anchored not stored refs pending

Spawning rings of exceptional points out of Dirac cones

Adi Pick, Bo Zhen, Chia Wei Hsu, Ido Kaminer, John D. Joannopoulos, Ling Lu, Marin Solja\v{c}i\'c, Song-Liang Chua, Yuichi Igarashi

arxiv:1504.00734 v1 · 2015-04-03 · 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{GMCCADG4JDBVHUE7MFSQBD3C3U}

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	2026-05-18T01:32:00.676075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3304200cdc48c353d09f6165008f62dd29f662ea0bb085ee2cc1649d70d00a24

Aliases

arxiv: 1504.00734 · arxiv_version: 1504.00734v1 · doi: 10.48550/arxiv.1504.00734 · pith_short_12: GMCCADG4JDBV · pith_short_16: GMCCADG4JDBVHUE7 · pith_short_8: GMCCADG4

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/GMCCADG4JDBVHUE7MFSQBD3C3U \
  | 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: 3304200cdc48c353d09f6165008f62dd29f662ea0bb085ee2cc1649d70d00a24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5abb8591b87aac2d64f2cb56e640a89d7115a31f84838026ee9d32e130bf5a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-04-03T03:12:30Z",
    "title_canon_sha256": "13534b37357248a7f260e3dc6ea1ae7b6d1b1d1b3fd38a24451e870c0064086a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00734",
    "kind": "arxiv",
    "version": 1
  }
}