Pith Number

pith:GTJKWU7F

pith:2017:GTJKWU7FCQ2VGHHK5VSJAJR7PF

not attested not anchored not stored refs pending

On the local converse theorem and the descent theorem in families

Baiying Liu, Gilbert Moss

arxiv:1711.11159 v1 · 2017-11-29 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTJKWU7FCQ2VGHHK5VSJAJR7PF}

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	2026-05-18T00:29:12.324695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d2ab53e51435531ceaed6490263f7973fe8ccbafbab3fe2968d2c9a4d1b22e

Aliases

arxiv: 1711.11159 · arxiv_version: 1711.11159v1 · doi: 10.48550/arxiv.1711.11159 · pith_short_12: GTJKWU7FCQ2V · pith_short_16: GTJKWU7FCQ2VGHHK · pith_short_8: GTJKWU7F

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/GTJKWU7FCQ2VGHHK5VSJAJR7PF \
  | 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: 34d2ab53e51435531ceaed6490263f7973fe8ccbafbab3fe2968d2c9a4d1b22e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89c23f1f058ae144564919efe38d9c895c22cedce50c7a86bf16aabb1dd47e12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-29T23:50:58Z",
    "title_canon_sha256": "4b4f62fecf0d760ab1582d1f2c909ed08ce27d88d010300fe3910dfd1479e088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11159",
    "kind": "arxiv",
    "version": 1
  }
}