Pith Number

pith:75PIU5TL

pith:2016:75PIU5TL2SC4L6MWYX6QGZKIFM

not attested not anchored not stored refs pending

Arithmetic topology in Ihara theory

Hisatoshi Kodani, Masanori Morishita, Yuji Terashima

arxiv:1608.07926 v3 · 2016-08-29 · math.NT · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75PIU5TL2SC4L6MWYX6QGZKIFM}

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	2026-05-18T00:42:12.828251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5e8a766bd485c5f996c5fd0365482b040268110c91972d76128bf5c8bdec9b

Aliases

arxiv: 1608.07926 · arxiv_version: 1608.07926v3 · doi: 10.48550/arxiv.1608.07926 · pith_short_12: 75PIU5TL2SC4 · pith_short_16: 75PIU5TL2SC4L6MW · pith_short_8: 75PIU5TL

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/75PIU5TL2SC4L6MWYX6QGZKIFM \
  | 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: ff5e8a766bd485c5f996c5fd0365482b040268110c91972d76128bf5c8bdec9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d352825e76c6c485407ee615531edb9465ec9f7e0e4b6e357ab2d47952df8aee",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-29T06:48:24Z",
    "title_canon_sha256": "0017efed3756a0516e79a8e863f34585e95d24d19d801855076d3e82034e8bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07926",
    "kind": "arxiv",
    "version": 3
  }
}