Pith Number

pith:H32E3WBG

pith:2017:H32E3WBGFMQULYLRJX4UP7Y6TZ

not attested not anchored not stored refs pending

Von Neumann dimension, Hodge index theorem and geometric applications

Francesco Bei

arxiv:1711.02571 v2 · 2017-11-07 · math.DG · 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{H32E3WBGFMQULYLRJX4UP7Y6TZ}

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	2026-05-18T00:11:06.804696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef44dd8262b2145e1714df947ff1e9e62c2ee0023f9deb2e73c9332568d9678

Aliases

arxiv: 1711.02571 · arxiv_version: 1711.02571v2 · doi: 10.48550/arxiv.1711.02571 · pith_short_12: H32E3WBGFMQU · pith_short_16: H32E3WBGFMQULYLR · pith_short_8: H32E3WBG

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/H32E3WBGFMQULYLRJX4UP7Y6TZ \
  | 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: 3ef44dd8262b2145e1714df947ff1e9e62c2ee0023f9deb2e73c9332568d9678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6028991b6ea069b8a07186374760d1587a326c3796b4c21822985a9d6ebcb283",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-07T15:51:59Z",
    "title_canon_sha256": "9737eb5628bdc033c34d4bde6e71e30811ab0890b8926d8df5e738ad5b78de1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02571",
    "kind": "arxiv",
    "version": 2
  }
}