Pith Number

pith:VRF7PQTP

pith:2011:VRF7PQTPJA6CAJOWSHEMRZEPFC

not attested not anchored not stored refs pending

On the lack of dispersion for a class of magnetic Dirac flows

Andoni Garc\'ia, Luca Fanelli, Naiara Arrizabalaga

arxiv:1107.0843 v1 · 2011-07-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRF7PQTPJA6CAJOWSHEMRZEPFC}

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	2026-05-18T00:56:57.817208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4bf7c26f483c2025d691c8c8e48f288ae8098bf4327cde77e06fcd7984e141

Aliases

arxiv: 1107.0843 · arxiv_version: 1107.0843v1 · doi: 10.48550/arxiv.1107.0843 · pith_short_12: VRF7PQTPJA6C · pith_short_16: VRF7PQTPJA6CAJOW · pith_short_8: VRF7PQTP

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/VRF7PQTPJA6CAJOWSHEMRZEPFC \
  | 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: ac4bf7c26f483c2025d691c8c8e48f288ae8098bf4327cde77e06fcd7984e141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ff05e9f3718681439e7fbb238f9da3172fa7b87aa8919ef8a75dbc40d36eab6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-05T10:45:17Z",
    "title_canon_sha256": "5634f1c6c5a0a0a1b996296d7a562b0790d280fc151450598005d3d66c921ff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0843",
    "kind": "arxiv",
    "version": 1
  }
}