Pith Number

pith:6QNCBPZN

pith:2015:6QNCBPZNJTQNUIQ3DVYJ4ZNJQL

not attested not anchored not stored refs pending

Hyperstructures of Affine Algebraic Group Schemes

Jaiung Jun

arxiv:1510.02979 v1 · 2015-10-10 · math.AG · math.GR · 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{6QNCBPZNJTQNUIQ3DVYJ4ZNJQL}

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	2026-05-18T01:30:33.101873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f41a20bf2d4ce0da221b1d709e65a982f6398e0cd75c67f81a8f58f73152dd0d

Aliases

arxiv: 1510.02979 · arxiv_version: 1510.02979v1 · doi: 10.48550/arxiv.1510.02979 · pith_short_12: 6QNCBPZNJTQN · pith_short_16: 6QNCBPZNJTQNUIQ3 · pith_short_8: 6QNCBPZN

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/6QNCBPZNJTQNUIQ3DVYJ4ZNJQL \
  | 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: f41a20bf2d4ce0da221b1d709e65a982f6398e0cd75c67f81a8f58f73152dd0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74c257d178ea19f41899191bdecaf9a47388cd431449155a612b2089f3286b05",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-10T21:01:18Z",
    "title_canon_sha256": "a6d3355636e0ee3818623398986bd5502a0c201649112264ed9235dfc2bf3adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02979",
    "kind": "arxiv",
    "version": 1
  }
}