Pith Number

pith:SKGQYA22

pith:2018:SKGQYA22IYOIQAPZ7EF2SXQWC3

not attested not anchored not stored refs pending

Reduction of certain crystalline representations and local constancy in the weight space

Shalini Bhattacharya

arxiv:1801.07754 v1 · 2018-01-23 · 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{SKGQYA22IYOIQAPZ7EF2SXQWC3}

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	2026-05-18T00:25:10.965192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

928d0c035a461c8801f9f90ba95e1616f9d6c9c108e5cfeb1c4c5e22576eaeb1

Aliases

arxiv: 1801.07754 · arxiv_version: 1801.07754v1 · doi: 10.48550/arxiv.1801.07754 · pith_short_12: SKGQYA22IYOI · pith_short_16: SKGQYA22IYOIQAPZ · pith_short_8: SKGQYA22

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/SKGQYA22IYOIQAPZ7EF2SXQWC3 \
  | 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: 928d0c035a461c8801f9f90ba95e1616f9d6c9c108e5cfeb1c4c5e22576eaeb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db603af15410ed42ff86461c76374073583e396955db006e83bf065cf4329f00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-23T20:15:53Z",
    "title_canon_sha256": "e8b2a1e23d9ff93b1286b6bcff7e787ff436400813a1011f818bcdf1a5dfff3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07754",
    "kind": "arxiv",
    "version": 1
  }
}