Pith Number

pith:BN6EXR6K

pith:2007:BN6EXR6KT5MVLMTP5PGTAQNAV3

not attested not anchored not stored refs pending

Hidden Life of Riemann's Zeta Function 2. Electrons and Trains

Yuri Matiyasevich

arxiv:0709.0028 v2 · 2007-09-03 · 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{BN6EXR6KT5MVLMTP5PGTAQNAV3}

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	2026-07-04T15:03:58.293555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7c4bc7ca9f5955b26febcd3041a0aecefd3cf5f526c050a50a211299b1484e

Aliases

arxiv: 0709.0028 · arxiv_version: 0709.0028v2 · doi: 10.48550/arxiv.0709.0028 · pith_short_12: BN6EXR6KT5MV · pith_short_16: BN6EXR6KT5MVLMTP · pith_short_8: BN6EXR6K

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/BN6EXR6KT5MVLMTP5PGTAQNAV3 \
  | 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: 0b7c4bc7ca9f5955b26febcd3041a0aecefd3cf5f526c050a50a211299b1484e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b41d4cbadeb5e66bfd30cf199b2232bd29fe92297b9742b24d01b8c4e0ce36",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-09-03T18:46:03Z",
    "title_canon_sha256": "3968c5a6d7f17fde3f5caa6a747bdf0681ad0d963337cdc60ec754b0eb6e4570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0028",
    "kind": "arxiv",
    "version": 2
  }
}