Pith Number

pith:7H7Q3ETK

pith:2016:7H7Q3ETKNUQXRWXR4UR5W6XMIG

not attested not anchored not stored refs pending

Extended period domains, algebraic groups, and higher Albanese manifolds

Chikara Nakayama, Kazuya Kato, Sampei Usui

arxiv:1611.03179 v2 · 2016-11-10 · 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{7H7Q3ETKNUQXRWXR4UR5W6XMIG}

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	2026-05-18T00:59:18.269296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9ff0d926a6d2178daf1e523db7aec41bdfe6e7630e270ec172200fe1c32bcc0

Aliases

arxiv: 1611.03179 · arxiv_version: 1611.03179v2 · doi: 10.48550/arxiv.1611.03179 · pith_short_12: 7H7Q3ETKNUQX · pith_short_16: 7H7Q3ETKNUQXRWXR · pith_short_8: 7H7Q3ETK

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/7H7Q3ETKNUQXRWXR4UR5W6XMIG \
  | 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: f9ff0d926a6d2178daf1e523db7aec41bdfe6e7630e270ec172200fe1c32bcc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f6c8791aed82b1617cc5dc2e2d3a50e08b9db8d45af08a382c66ca1fac5183d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-10T04:04:16Z",
    "title_canon_sha256": "4787f26c7d7c2b50670cc6fa990748ec0c0805b0bf135be27cb6bd1b18fe7792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03179",
    "kind": "arxiv",
    "version": 2
  }
}