Pith Number

pith:3JUQRRY6

pith:2006:3JUQRRY6Y4727ES7RFX6EOPXXV

not attested not anchored not stored refs pending

Computing central values of $L$-functions

Fernando Rodriguez Villegas

arxiv:math/0612667 v1 · 2006-12-21 · 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{3JUQRRY6Y4727ES7RFX6EOPXXV}

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	2026-05-18T00:19:48.200058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da6908c71ec73faf925f896fe239f7bd6e6f39017ba2b1180fc673f9ebd80868

Aliases

arxiv: math/0612667 · arxiv_version: math/0612667v1 · doi: 10.48550/arxiv.math/0612667 · pith_short_12: 3JUQRRY6Y472 · pith_short_16: 3JUQRRY6Y4727ES7 · pith_short_8: 3JUQRRY6

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/3JUQRRY6Y4727ES7RFX6EOPXXV \
  | 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: da6908c71ec73faf925f896fe239f7bd6e6f39017ba2b1180fc673f9ebd80868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "655b46405c3df7258fbd46ea51428b68f35693fc042bded87421c1e7b362e4cd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-12-21T20:39:59Z",
    "title_canon_sha256": "a97eec7513327f546555d20a65442f63de80a6bbffd194bbab3608a53ab0f926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612667",
    "kind": "arxiv",
    "version": 1
  }
}