Pith Number

pith:NJQD5RLA

pith:2018:NJQD5RLATQ4HZQFQZHQR2Q26I2

not attested not anchored not stored refs pending

A toy model of shtukas

Zhiyuan Ding

arxiv:1802.04482 v2 · 2018-02-13 · 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{NJQD5RLATQ4HZQFQZHQR2Q26I2}

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	2026-05-18T00:01:43.621710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a603ec5609c387cc0b0c9e11d435e4690c1361ddb9d381b5e5b4f3671f2e320

Aliases

arxiv: 1802.04482 · arxiv_version: 1802.04482v2 · doi: 10.48550/arxiv.1802.04482 · pith_short_12: NJQD5RLATQ4H · pith_short_16: NJQD5RLATQ4HZQFQ · pith_short_8: NJQD5RLA

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/NJQD5RLATQ4HZQFQZHQR2Q26I2 \
  | 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: 6a603ec5609c387cc0b0c9e11d435e4690c1361ddb9d381b5e5b4f3671f2e320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f677358446821ea907aba25d407e3d24c59bcb8804ba5f4849be5cfcd04ed4",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-13T06:58:30Z",
    "title_canon_sha256": "10151ea05eb11fd64fdd61dbb9c4bd03387aedf212cb2ffa0d498057337cc44f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04482",
    "kind": "arxiv",
    "version": 2
  }
}