Pith Number

pith:INU26OP4

pith:2018:INU26OP4SLGFKZWU5ZNP2CJXSM

not attested not anchored not stored refs pending

Smooth affine group schemes over the dual numbers

Dajano Tossici (IMB), Matthieu Romagny (IRMAR)

arxiv:1802.06989 v4 · 2018-02-20 · math.AG · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INU26OP4SLGFKZWU5ZNP2CJXSM}

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	2026-05-17T23:42:43.407937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4369af39fc92cc5566d4ee5afd0937930bb1b575a51a349d828a82b05346279a

Aliases

arxiv: 1802.06989 · arxiv_version: 1802.06989v4 · doi: 10.48550/arxiv.1802.06989 · pith_short_12: INU26OP4SLGF · pith_short_16: INU26OP4SLGFKZWU · pith_short_8: INU26OP4

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/INU26OP4SLGFKZWU5ZNP2CJXSM \
  | 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: 4369af39fc92cc5566d4ee5afd0937930bb1b575a51a349d828a82b05346279a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77aea2ca92d3399b62677c6747d22a57d72908b654b6e66cdd36fdcbb0eb95fb",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-20T07:18:27Z",
    "title_canon_sha256": "06b0aabf4cc30c0a4c51c6541ccb2e5e4c06abe8a1864ccbf998dce4b4841866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06989",
    "kind": "arxiv",
    "version": 4
  }
}