Pith Number

pith:6NGY42IG

pith:2018:6NGY42IG3G2ED6FNPL5KBQC4M5

not attested not anchored not stored refs pending

The Massless Dirac Equation in Two Dimensions: Zero-Energy Obstructions and Dispersive Estimates

Burak Erdogan, Michael Goldberg, William R. Green

arxiv:1807.00219 v3 · 2018-06-30 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NGY42IG3G2ED6FNPL5KBQC4M5}

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	2026-05-17T23:52:15.971148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f34d8e6906d9b441f8ad7afaa0c05c67677916640022a8690bf40339ef656013

Aliases

arxiv: 1807.00219 · arxiv_version: 1807.00219v3 · doi: 10.48550/arxiv.1807.00219 · pith_short_12: 6NGY42IG3G2E · pith_short_16: 6NGY42IG3G2ED6FN · pith_short_8: 6NGY42IG

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/6NGY42IG3G2ED6FNPL5KBQC4M5 \
  | 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: f34d8e6906d9b441f8ad7afaa0c05c67677916640022a8690bf40339ef656013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73a660d90c201ad2d9f81ba171517d85c896da45fae2bea648eddde7f6bab93e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-30T19:33:02Z",
    "title_canon_sha256": "621bceadb30a94487df4117318f10b6213af47ee076c50bacecf13d9f59dcc62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00219",
    "kind": "arxiv",
    "version": 3
  }
}