Pith Number

pith:VN5YUHDR

pith:2017:VN5YUHDRUGT5VZXDT7TUSZAZE2

not attested not anchored not stored refs pending

Dispersive estimates for massive Dirac operators in dimension two

Ebru Toprak, M. Burak Erdo\u{g}an, William R. Green

arxiv:1707.05459 v1 · 2017-07-18 · 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{VN5YUHDRUGT5VZXDT7TUSZAZE2}

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	2026-05-17T23:52:18.974814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab7b8a1c71a1a7dae6e39fe749641926895ad8152f7ffb2fea0b0b705e11a37e

Aliases

arxiv: 1707.05459 · arxiv_version: 1707.05459v1 · doi: 10.48550/arxiv.1707.05459 · pith_short_12: VN5YUHDRUGT5 · pith_short_16: VN5YUHDRUGT5VZXD · pith_short_8: VN5YUHDR

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/VN5YUHDRUGT5VZXDT7TUSZAZE2 \
  | 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: ab7b8a1c71a1a7dae6e39fe749641926895ad8152f7ffb2fea0b0b705e11a37e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1a13b29208cbd1b2ba3dae44c555549a2856fe087c516f536ac93b25502d85",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-18T04:09:09Z",
    "title_canon_sha256": "4acc483e753e60e21f33e3b97e5b8fbfe15a57772ab8d38496eb697536d73ce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05459",
    "kind": "arxiv",
    "version": 1
  }
}