Pith Number

pith:KN5XY2K2

pith:2014:KN5XY2K2HHJSI4EOVFLKQ5XEHK

not attested not anchored not stored refs pending

Some remarks on Hodge symmetry

Kirti Joshi

arxiv:1402.4176 v1 · 2014-02-17 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KN5XY2K2HHJSI4EOVFLKQ5XEHK}

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	2026-05-18T02:58:44.649737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

537b7c695a39d324708ea956a876e43a88209bc8d232c057b92260749673a4a0

Aliases

arxiv: 1402.4176 · arxiv_version: 1402.4176v1 · doi: 10.48550/arxiv.1402.4176 · pith_short_12: KN5XY2K2HHJS · pith_short_16: KN5XY2K2HHJSI4EO · pith_short_8: KN5XY2K2

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/KN5XY2K2HHJSI4EOVFLKQ5XEHK \
  | 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: 537b7c695a39d324708ea956a876e43a88209bc8d232c057b92260749673a4a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "248d8baf480996b5c44bbb5ff3c91f5a0a882bc9c11cf08c6ced24fdf03393b0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-02-17T23:20:45Z",
    "title_canon_sha256": "a0f4816cb9c3acd4a9b6dfd0e427f6a6ef8a83c9e394afe267591f826bc4b5c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4176",
    "kind": "arxiv",
    "version": 1
  }
}