Pith Number

pith:GYKSQ6MU

pith:2013:GYKSQ6MUYURTDREXSESPPAIMGW

not attested not anchored not stored refs pending

Adelic openness without the Mumford-Tate conjecture

Chun Yin Hui, Michael Larsen

arxiv:1312.3812 v2 · 2013-12-13 · 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{GYKSQ6MUYURTDREXSESPPAIMGW}

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	2026-05-18T01:34:35.857781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3615287994c52331c4979124f7810c358a2b1e7024927dc10d9fe559cdf82179

Aliases

arxiv: 1312.3812 · arxiv_version: 1312.3812v2 · doi: 10.48550/arxiv.1312.3812 · pith_short_12: GYKSQ6MUYURT · pith_short_16: GYKSQ6MUYURTDREX · pith_short_8: GYKSQ6MU

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/GYKSQ6MUYURTDREXSESPPAIMGW \
  | 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: 3615287994c52331c4979124f7810c358a2b1e7024927dc10d9fe559cdf82179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c65c8873bdd9d90383cd2fd9188d2d9777dac5f3c11464e4972250eb3d1ee875",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-13T14:10:57Z",
    "title_canon_sha256": "eed6bf3c4fa220d0142bcf1b4160cc615885717979df98b4ffab4b90239c66c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3812",
    "kind": "arxiv",
    "version": 2
  }
}