Pith Number

pith:HYVAQFUP

pith:2018:HYVAQFUPE5FVORGUH7ZRPXTZB6

not attested not anchored not stored refs pending

On the limit of spectral gap formation via Bragg's reflection

Lei Chang

arxiv:1811.12102 v1 · 2018-11-29 · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYVAQFUPE5FVORGUH7ZRPXTZB6}

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	2026-05-17T23:59:34.413005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e2a08168f274b5744d43ff317de790f8ef547026b2dd6391b9aefb90730b52f

Aliases

arxiv: 1811.12102 · arxiv_version: 1811.12102v1 · doi: 10.48550/arxiv.1811.12102 · pith_short_12: HYVAQFUPE5FV · pith_short_16: HYVAQFUPE5FVORGU · pith_short_8: HYVAQFUP

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/HYVAQFUPE5FVORGUH7ZRPXTZB6 \
  | 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: 3e2a08168f274b5744d43ff317de790f8ef547026b2dd6391b9aefb90730b52f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c97e10bb501b587744e5a14ae43011b5114ae3583b22fadb146d5d75e7387b0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2018-11-29T12:46:01Z",
    "title_canon_sha256": "0e8b5a4fe7fc06f4e321b1b94607ccb793cae82d5a416c96aec60e432be8f8a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12102",
    "kind": "arxiv",
    "version": 1
  }
}