Pith Number

pith:UBB7XJ62

pith:2025:UBB7XJ62VHYRFRX3EG7TYHDGKW

not attested not anchored not stored refs pending

De Rham-Higgs comparison for mixed Hodge modules in positive characteristic

Zhang Zebao

arxiv:2507.15175 v1 · 2025-07-21 · 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{UBB7XJ62VHYRFRX3EG7TYHDGKW}

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	2026-07-05T11:40:19.691850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a043fba7daa9f112c6fb21bf3c1c66559e5668907716ea0d2ef910cc9667c33b

Aliases

arxiv: 2507.15175 · arxiv_version: 2507.15175v1 · doi: 10.48550/arxiv.2507.15175 · pith_short_12: UBB7XJ62VHYR · pith_short_16: UBB7XJ62VHYRFRX3 · pith_short_8: UBB7XJ62

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/UBB7XJ62VHYRFRX3EG7TYHDGKW \
  | 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: a043fba7daa9f112c6fb21bf3c1c66559e5668907716ea0d2ef910cc9667c33b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43461888e0deb2c7f6c9f80f456d781bb9eacee26330732baf3aeb8dc8fecdca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-21T01:43:36Z",
    "title_canon_sha256": "25795f6577541d02e358cf8160f2f89121c4fc6f150711bced4fec508be1651f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15175",
    "kind": "arxiv",
    "version": 1
  }
}