Pith Number

pith:MFS7M6WX

pith:2025:MFS7M6WXYQ46IIT4I7SUC5LFJN

not attested not anchored not stored refs pending

A Hasse principle for the higher Chow groups of curves over a global field

Toshiro Hiranouchi

arxiv:2507.22319 v3 · 2025-07-30 · 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{MFS7M6WXYQ46IIT4I7SUC5LFJN}

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	2026-06-04T01:08:30.636783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6165f67ad7c439e4227c47e54175654b5a01f66156c095ba871493da6aabac44

Aliases

arxiv: 2507.22319 · arxiv_version: 2507.22319v3 · doi: 10.48550/arxiv.2507.22319 · pith_short_12: MFS7M6WXYQ46 · pith_short_16: MFS7M6WXYQ46IIT4 · pith_short_8: MFS7M6WX

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/MFS7M6WXYQ46IIT4I7SUC5LFJN \
  | 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: 6165f67ad7c439e4227c47e54175654b5a01f66156c095ba871493da6aabac44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "191e1a1ebb5f459a6c969c4f2bc5ebe1325332d5b0f10c962ca564bc4b4f01fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-30T01:26:23Z",
    "title_canon_sha256": "8f6b2e8da696fa43f1026d08a83cb35cf9b153acbb0dc4f89a812c60826f5631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22319",
    "kind": "arxiv",
    "version": 3
  }
}