Pith Number

pith:53NJXDZR

pith:2018:53NJXDZRKB4VQU3BCGA2B43T7Q

not attested not anchored not stored refs pending

On residue maps for affine curves

Igor A. Rapinchuk

arxiv:1802.01637 v1 · 2018-02-05 · 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{53NJXDZRKB4VQU3BCGA2B43T7Q}

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	2026-05-18T00:24:21.833105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeda9b8f3150795853611181a0f373fc2b9194547dfd40cd9ad3ffeca51f16b4

Aliases

arxiv: 1802.01637 · arxiv_version: 1802.01637v1 · doi: 10.48550/arxiv.1802.01637 · pith_short_12: 53NJXDZRKB4V · pith_short_16: 53NJXDZRKB4VQU3B · pith_short_8: 53NJXDZR

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/53NJXDZRKB4VQU3BCGA2B43T7Q \
  | 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: eeda9b8f3150795853611181a0f373fc2b9194547dfd40cd9ad3ffeca51f16b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0972f2fa01f104305467934a463145a668e90c421d38ef0881eab3fdc589f9da",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-05T20:27:16Z",
    "title_canon_sha256": "6f5b0fd75331db66e11cad34cb62ac6426c00ba041563aee2003bd00240c2fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01637",
    "kind": "arxiv",
    "version": 1
  }
}