Pith Number

pith:2HSKF6CI

pith:2025:2HSKF6CISNT5PM3KT7SGMDOAGS

not attested not anchored not stored refs pending

Spectral Analysis of Hodge Cycles: A Novel Approach to the Hodge Conjecture via Generalized Moments

Bita Hajebi, Pooya Hajebi

arxiv:2507.04089 v2 · 2025-07-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HSKF6CISNT5PM3KT7SGMDOAGS}

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	2026-07-05T11:48:05.019430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e4a2f8489367d7b36a9fe4660dc034ad3bc59fcf2b61eddd1b4a8c9abd1f4b

Aliases

arxiv: 2507.04089 · arxiv_version: 2507.04089v2 · doi: 10.48550/arxiv.2507.04089 · pith_short_12: 2HSKF6CISNT5 · pith_short_16: 2HSKF6CISNT5PM3K · pith_short_8: 2HSKF6CI

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/2HSKF6CISNT5PM3KT7SGMDOAGS \
  | 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: d1e4a2f8489367d7b36a9fe4660dc034ad3bc59fcf2b61eddd1b4a8c9abd1f4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99b790d52335e11a4cc10325f8311033e9ca0904716297cfb8c2eac2bf44251d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-05T16:26:41Z",
    "title_canon_sha256": "acc2a9c3695b4c85deead452abdd5e7ad53e877a3aa4aa928d079ae036860d63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04089",
    "kind": "arxiv",
    "version": 2
  }
}