Pith Number

pith:FYGPAPCX

pith:2016:FYGPAPCX5EGYT7326232Q4WEVY

not attested not anchored not stored refs pending

Force-Free Foliations

Alexandru Lupsasca, Geoffrey Comp\`ere, Samuel E. Gralla

arxiv:1606.06727 v2 · 2016-06-21 · math-ph · astro-ph.HE · gr-qc · hep-th · 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{FYGPAPCX5EGYT7326232Q4WEVY}

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	2026-05-18T00:31:52.057642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e0cf03c57e90d89ff7af6b7a872c4ae3f86531e5f101841009ac32f1518ae6b

Aliases

arxiv: 1606.06727 · arxiv_version: 1606.06727v2 · doi: 10.48550/arxiv.1606.06727 · pith_short_12: FYGPAPCX5EGY · pith_short_16: FYGPAPCX5EGYT732 · pith_short_8: FYGPAPCX

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/FYGPAPCX5EGYT7326232Q4WEVY \
  | 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: 2e0cf03c57e90d89ff7af6b7a872c4ae3f86531e5f101841009ac32f1518ae6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3429c3212ff4a58c02733c7f7123779ff4541aac53b04f8f26f2963fa4193a7",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-21T19:59:47Z",
    "title_canon_sha256": "f6725cf37e84a175f058ae18f76b37ad3e4b9dc7fb6767595c2f5218193234da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06727",
    "kind": "arxiv",
    "version": 2
  }
}