Pith Number

pith:IULUZX33

pith:2016:IULUZX33RTFQQLD2WV4WK2YEPS

not attested not anchored not stored refs pending

The 1-eigenspace for matrices in $\operatorname{GL}_2(\mathbb{Z}_\ell)$

Antonella Perucca, Davide Lombardo

arxiv:1612.02845 v2 · 2016-12-08 · 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{IULUZX33RTFQQLD2WV4WK2YEPS}

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	2026-05-18T00:38:46.387462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45174cdf7b8ccb082c7ab579656b047caf33e97a77a70f68f97a4adf6a8f7aeb

Aliases

arxiv: 1612.02845 · arxiv_version: 1612.02845v2 · doi: 10.48550/arxiv.1612.02845 · pith_short_12: IULUZX33RTFQ · pith_short_16: IULUZX33RTFQQLD2 · pith_short_8: IULUZX33

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/IULUZX33RTFQQLD2WV4WK2YEPS \
  | 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: 45174cdf7b8ccb082c7ab579656b047caf33e97a77a70f68f97a4adf6a8f7aeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f597acf21707f558b44b3c34e2c34eac323c34435b002a2437b49eef056d820",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-08T21:27:54Z",
    "title_canon_sha256": "7866b8858989c80becec46b441007db851c945449c7cb256a4c7d40ca175c40d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02845",
    "kind": "arxiv",
    "version": 2
  }
}