Pith Number

pith:UTNZFFWG

pith:2007:UTNZFFWGY5EAZWTGWKUHWLACMX

not attested not anchored not stored refs pending

Hidden Life of Riemann's Zeta Function 1. Arrow, Bow, and Targets

Yuri Matiyasevich

arxiv:0707.1983 v2 · 2007-07-13 · 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{UTNZFFWGY5EAZWTGWKUHWLACMX}

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	2026-07-04T15:04:32.785086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4db9296c6c7480cda66b2a87b2c0265ebe1ae103b9c80603f6b05f283897e4d

Aliases

arxiv: 0707.1983 · arxiv_version: 0707.1983v2 · doi: 10.48550/arxiv.0707.1983 · pith_short_12: UTNZFFWGY5EA · pith_short_16: UTNZFFWGY5EAZWTG · pith_short_8: UTNZFFWG

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/UTNZFFWGY5EAZWTGWKUHWLACMX \
  | 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: a4db9296c6c7480cda66b2a87b2c0265ebe1ae103b9c80603f6b05f283897e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b9e4b72bcc131023fdde4246ee1d02d5ab49e7d68748e1084e1c497bbdbb6a8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-07-13T11:55:50Z",
    "title_canon_sha256": "bea3fbc299be68704c2b0c2ed46be87f0b2a9618b3c56d1f4742bc85e576fe12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1983",
    "kind": "arxiv",
    "version": 2
  }
}