Pith Number

pith:HCSPRFSH

pith:2016:HCSPRFSHSGAEHJ6SIW6KS6PAAG

not attested not anchored not stored refs pending

Galois equivariance of critical values of $L$-functions for unitary groups

Jie Lin, Lucio Guerberoff

arxiv:1612.09590 v1 · 2016-12-30 · 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{HCSPRFSHSGAEHJ6SIW6KS6PAAG}

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	2026-05-18T00:53:41.155395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38a4f89647918043a7d245bca979e00198772c337acf7ee7aee6daf290299826

Aliases

arxiv: 1612.09590 · arxiv_version: 1612.09590v1 · doi: 10.48550/arxiv.1612.09590 · pith_short_12: HCSPRFSHSGAE · pith_short_16: HCSPRFSHSGAEHJ6S · pith_short_8: HCSPRFSH

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/HCSPRFSHSGAEHJ6SIW6KS6PAAG \
  | 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: 38a4f89647918043a7d245bca979e00198772c337acf7ee7aee6daf290299826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c047c1dacb43d8a6843c68b1c1495bfdb210fb26269282b3c8cc10b3df227e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-30T20:41:01Z",
    "title_canon_sha256": "5134ec9a77dac5415266fd35ac19ff3b066300c5aaaeaa4116ffb2d23f27cc8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09590",
    "kind": "arxiv",
    "version": 1
  }
}