Pith Number

pith:L2WHO6LX

pith:2017:L2WHO6LXK2WCG4SDEVFE2R5UIM

not attested not anchored not stored refs pending

Supercuspidal ramifications and traces of adjoint lifts at good primes

Debargha Banerjee, Tathagata Mandal

arxiv:1712.05623 v3 · 2017-12-15 · 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{L2WHO6LXK2WCG4SDEVFE2R5UIM}

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	2026-05-17T23:50:49.358489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eac77797756ac237243254a4d47b4431b1c13470c29e2d7bc5778a4dd3b7bb0

Aliases

arxiv: 1712.05623 · arxiv_version: 1712.05623v3 · doi: 10.48550/arxiv.1712.05623 · pith_short_12: L2WHO6LXK2WC · pith_short_16: L2WHO6LXK2WCG4SD · pith_short_8: L2WHO6LX

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/L2WHO6LXK2WCG4SDEVFE2R5UIM \
  | 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: 5eac77797756ac237243254a4d47b4431b1c13470c29e2d7bc5778a4dd3b7bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b96c46058cf5a6b530e438f3772452a629f480a33c4856dc4226e9ccf31455dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-15T11:27:46Z",
    "title_canon_sha256": "94e71108df8f1506813249504e09f60ac96a962e0b665449fc7ba58ee8cac101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05623",
    "kind": "arxiv",
    "version": 3
  }
}