Pith Number

pith:ORZVH4N7

pith:2018:ORZVH4N7NAMTCW7ML5QNGOPM7L

not attested not anchored not stored refs pending

Three Topological Results on the Twistor Discriminant Locus in the 4-Sphere

Amedeo Altavilla, Edoardo Ballico

arxiv:1808.07806 v1 · 2018-08-23 · math.DG · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORZVH4N7NAMTCW7ML5QNGOPM7L}

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	2026-05-17T23:51:39.439928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

747353f1bf6819315bec5f60d339ecfaecc627f777ba6fbc6e1137dea278d309

Aliases

arxiv: 1808.07806 · arxiv_version: 1808.07806v1 · doi: 10.48550/arxiv.1808.07806 · pith_short_12: ORZVH4N7NAMT · pith_short_16: ORZVH4N7NAMTCW7M · pith_short_8: ORZVH4N7

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/ORZVH4N7NAMTCW7ML5QNGOPM7L \
  | 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: 747353f1bf6819315bec5f60d339ecfaecc627f777ba6fbc6e1137dea278d309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b5cf74a2f6e163c62869f781c6fdbe0ffd832d10fe916e20d93c04e9dd97d6d",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-23T15:29:31Z",
    "title_canon_sha256": "161f01cc494a2988ac278612baf6812b1f42d68e1bcd002d89cc486bcbf1f1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07806",
    "kind": "arxiv",
    "version": 1
  }
}