Pith Number

pith:VCKNKTJN

pith:2022:VCKNKTJNKLYXPKAZS35XKBBLV2

not attested not anchored not stored refs pending

Ordinary local representations and $\Ext$ groups

Debargha Banerjee, Srijan Das

arxiv:2210.02238 v4 · 2022-10-05 · 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{VCKNKTJNKLYXPKAZS35XKBBLV2}

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	2026-05-20T00:00:13.272506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a894d54d2d52f177a81996fb75042baebe61e3a287059d74490cef13f0849f3c

Aliases

arxiv: 2210.02238 · arxiv_version: 2210.02238v4 · doi: 10.48550/arxiv.2210.02238 · pith_short_12: VCKNKTJNKLYX · pith_short_16: VCKNKTJNKLYXPKAZ · pith_short_8: VCKNKTJN

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/VCKNKTJNKLYXPKAZS35XKBBLV2 \
  | 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: a894d54d2d52f177a81996fb75042baebe61e3a287059d74490cef13f0849f3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "395fb5e53f58f8380b5958ef0997dbafd53ab05bb56184763290645ede39b335",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-10-05T13:17:49Z",
    "title_canon_sha256": "31ba01b5bcff1e14c65c3e293bb38fdb2aa1ff19123a44e59162bd15076dbcf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.02238",
    "kind": "arxiv",
    "version": 4
  }
}