Pith Number

pith:3XJJ6YTB

pith:2007:3XJJ6YTB4FWK2ENX6ANPCEFQ5P

not attested not anchored not stored refs pending

Nonarchimedean Green functions and dynamics on projective space

Joseph H. Silverman, Shu Kawaguchi

arxiv:0706.2169 v2 · 2007-06-14 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XJJ6YTB4FWK2ENX6ANPCEFQ5P}

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	2026-05-18T04:21:12.541641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd29f6261e16cad11b7f01af110b0ebeb48fb43839ae14b3116336b15a82e8e

Aliases

arxiv: 0706.2169 · arxiv_version: 0706.2169v2 · doi: 10.48550/arxiv.0706.2169 · pith_short_12: 3XJJ6YTB4FWK · pith_short_16: 3XJJ6YTB4FWK2ENX · pith_short_8: 3XJJ6YTB

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/3XJJ6YTB4FWK2ENX6ANPCEFQ5P \
  | 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: ddd29f6261e16cad11b7f01af110b0ebeb48fb43839ae14b3116336b15a82e8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239b8c496e119935031ace56b16f237343f22c7f290b5656d0152b132f55840f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-06-14T17:54:02Z",
    "title_canon_sha256": "84de4ff4f8d37578a2671c4c9c2160e2d8be0fb02e25291b4c5f35977a68db04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2169",
    "kind": "arxiv",
    "version": 2
  }
}