Pith Number

pith:CMQFPUAX

pith:2015:CMQFPUAXCMSRVXXXA5IKE3DGNG

not attested not anchored not stored refs pending

Extended period domains and algebraic groups

Chikara Nakayama, Kazuya Kato, Sampei Usui

arxiv:1508.04318 v1 · 2015-08-18 · 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{CMQFPUAXCMSRVXXXA5IKE3DGNG}

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	2026-05-18T01:35:05.654898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

132057d01713251adef70750a26c66699a189c7fcd2ddddd4f3cc5878ce3f8ab

Aliases

arxiv: 1508.04318 · arxiv_version: 1508.04318v1 · doi: 10.48550/arxiv.1508.04318 · pith_short_12: CMQFPUAXCMSR · pith_short_16: CMQFPUAXCMSRVXXX · pith_short_8: CMQFPUAX

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/CMQFPUAXCMSRVXXXA5IKE3DGNG \
  | 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: 132057d01713251adef70750a26c66699a189c7fcd2ddddd4f3cc5878ce3f8ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e354026d0cbee6ef0a7aa9cc3ce945a62c1681f9b0902877e549241300daed9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-18T13:46:46Z",
    "title_canon_sha256": "88772cdb55fdb9271bac926e6e2b0dd7d7ca37ee202598fcb166809d0aa965b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04318",
    "kind": "arxiv",
    "version": 1
  }
}