Pith Number

pith:PM4E7TKG

pith:2017:PM4E7TKGUHTLMAQWIXOKU34MMG

not attested not anchored not stored refs pending

Regulators of K_1 of Hypergeometric Fibrations

Masanori Asakura, Noriyuki Otsubo

arxiv:1709.04144 v1 · 2017-09-13 · 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{PM4E7TKGUHTLMAQWIXOKU34MMG}

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	2026-05-18T00:35:15.322809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b384fcd46a1e6b6021645dcaa6f8c61b4dfb8846ee94b05db1bd867dab2c330

Aliases

arxiv: 1709.04144 · arxiv_version: 1709.04144v1 · doi: 10.48550/arxiv.1709.04144 · pith_short_12: PM4E7TKGUHTL · pith_short_16: PM4E7TKGUHTLMAQW · pith_short_8: PM4E7TKG

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/PM4E7TKGUHTLMAQWIXOKU34MMG \
  | 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: 7b384fcd46a1e6b6021645dcaa6f8c61b4dfb8846ee94b05db1bd867dab2c330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a308a78945a9ff23727f1b4fe486f06f1b2c918835a3e6f7ce4e15120cdcbe73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-13T05:39:38Z",
    "title_canon_sha256": "b688151c071b6746f0c710aefad41d86e99889be30282ff4db8e09f9da12c430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04144",
    "kind": "arxiv",
    "version": 1
  }
}