Pith Number

pith:QRIA2VYM

pith:2017:QRIA2VYMICUIX3H4G24YAQRSS6

not attested not anchored not stored refs pending

An arithmetic invariant theory of curves from $E_8$

Avinash Kulkarni

arxiv:1711.08843 v1 · 2017-11-24 · math.NT · 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{QRIA2VYMICUIX3H4G24YAQRSS6}

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	2026-05-18T00:29:42.004746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84500d570c40a88becfc36b9804232978dc2bbdf8094152116cf23e6c1ddadd9

Aliases

arxiv: 1711.08843 · arxiv_version: 1711.08843v1 · doi: 10.48550/arxiv.1711.08843 · pith_short_12: QRIA2VYMICUI · pith_short_16: QRIA2VYMICUIX3H4 · pith_short_8: QRIA2VYM

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/QRIA2VYMICUIX3H4G24YAQRSS6 \
  | 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: 84500d570c40a88becfc36b9804232978dc2bbdf8094152116cf23e6c1ddadd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69a053dd21f5452c13c4825ad0d7463a0bbf8b632776b8ab993705637eba5c2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-24T00:19:05Z",
    "title_canon_sha256": "a280499eea00e001e275e9dc75b4c0d8a07ddbac01ba9ef2c2017da1349a806c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08843",
    "kind": "arxiv",
    "version": 1
  }
}