Pith Number

pith:KHFO7A6V

pith:2018:KHFO7A6VDIUWYBBDNMYPIKSQCK

not attested not anchored not stored refs pending

Holomorphic spheres and four-dimensional symplectic pairs

Gianluca Bande, Paolo Ghiggini

arxiv:1802.00790 v2 · 2018-02-02 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHFO7A6VDIUWYBBDNMYPIKSQCK}

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	2026-05-17T23:52:18.609365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51caef83d51a296c04236b30f42a5012b4f69c115452bea690d444ca33bb2a00

Aliases

arxiv: 1802.00790 · arxiv_version: 1802.00790v2 · doi: 10.48550/arxiv.1802.00790 · pith_short_12: KHFO7A6VDIUW · pith_short_16: KHFO7A6VDIUWYBBD · pith_short_8: KHFO7A6V

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/KHFO7A6VDIUWYBBDNMYPIKSQCK \
  | 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: 51caef83d51a296c04236b30f42a5012b4f69c115452bea690d444ca33bb2a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dbe4626597ca7c3e0ea1838a177cdfa67f0d1fa7f62541e39410c0783100f53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-02-02T18:05:48Z",
    "title_canon_sha256": "5a76a82dd1f9e705b1157486bb8c5ae73bfdd250bff310e05ec8ee6e9aa015e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00790",
    "kind": "arxiv",
    "version": 2
  }
}