Pith Number

pith:SBABFZT3

pith:2009:SBABFZT3CWZ7YNFBWV2HJD2UQU

not attested not anchored not stored refs pending

The fundamental group of affine curves in positive characteristic

Manish Kumar

arxiv:0903.4472 v3 · 2009-03-25 · 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{SBABFZT3CWZ7YNFBWV2HJD2UQU}

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	2026-05-18T04:21:50.835301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

904012e67b15b3fc34a1b574748f548534a2c53824882c653820b75f3e432850

Aliases

arxiv: 0903.4472 · arxiv_version: 0903.4472v3 · doi: 10.48550/arxiv.0903.4472 · pith_short_12: SBABFZT3CWZ7 · pith_short_16: SBABFZT3CWZ7YNFB · pith_short_8: SBABFZT3

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/SBABFZT3CWZ7YNFBWV2HJD2UQU \
  | 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: 904012e67b15b3fc34a1b574748f548534a2c53824882c653820b75f3e432850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "252306859de4b7026c0e0dc81b23304e6d4b09e23e4e7d0a1b0f44cffeaaa6a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-25T21:15:33Z",
    "title_canon_sha256": "e946a479979ff8563cd72a5e2be7a932771cd2ceef62fb6aaf3acb5920676606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4472",
    "kind": "arxiv",
    "version": 3
  }
}