Pith Number

pith:GD47OQBC

pith:2015:GD47OQBCEUYQYWNNIKP3QQY2VW

not attested not anchored not stored refs pending

Variation of Weyl modules in $p$-adic families

Jyoti Prakash Saha

arxiv:1512.03006 v2 · 2015-12-04 · 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{GD47OQBCEUYQYWNNIKP3QQY2VW}

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	2026-05-18T01:10:32.859328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f9f7402225310c59ad429fb8431aadb2d142c415ef32905a01b0a5aa55dadf

Aliases

arxiv: 1512.03006 · arxiv_version: 1512.03006v2 · doi: 10.48550/arxiv.1512.03006 · pith_short_12: GD47OQBCEUYQ · pith_short_16: GD47OQBCEUYQYWNN · pith_short_8: GD47OQBC

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/GD47OQBCEUYQYWNNIKP3QQY2VW \
  | 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: 30f9f7402225310c59ad429fb8431aadb2d142c415ef32905a01b0a5aa55dadf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b1d69815963e9ae8b6e7d7b93738a86f824f8e78eaf4153ee3e9888f1d0262d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-04T00:45:57Z",
    "title_canon_sha256": "8cdf2ffe291dd4de41f3360b75c67d913d07350c35c845bb82379eb599b3507f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03006",
    "kind": "arxiv",
    "version": 2
  }
}