Pith Number

pith:EUQ72YYG

pith:2018:EUQ72YYGQ3VMHOT6DOWXCB4TPH

not attested not anchored not stored refs pending

The rank two $p$-curvature conjecture on generic curves

Anand Patel, Ananth N. Shankar, Junho Peter Whang

arxiv:1811.04538 v3 · 2018-11-12 · 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{EUQ72YYGQ3VMHOT6DOWXCB4TPH}

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	2026-05-17T23:44:33.908118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2521fd630686eac3ba7e1bad71079379cb5dd7d0aa95897365ed6892d456d501

Aliases

arxiv: 1811.04538 · arxiv_version: 1811.04538v3 · doi: 10.48550/arxiv.1811.04538 · pith_short_12: EUQ72YYGQ3VM · pith_short_16: EUQ72YYGQ3VMHOT6 · pith_short_8: EUQ72YYG

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/EUQ72YYGQ3VMHOT6DOWXCB4TPH \
  | 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: 2521fd630686eac3ba7e1bad71079379cb5dd7d0aa95897365ed6892d456d501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8632b673003e619496378044925fc5af5028000f8e29e45fa9f3e8814e09b8e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-12T03:24:31Z",
    "title_canon_sha256": "bae031379f12ff49b30f60cd9a9a2c6a6bf336194c538612ce09dea189a412ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04538",
    "kind": "arxiv",
    "version": 3
  }
}