Pith Number

pith:I7TRM7O6

pith:2019:I7TRM7O66BSCWZTHSCXA75MK3N

not attested not anchored not stored refs pending

Arithmetic topology in Ihara theory II: Milnor invariants, dilogarithmic Heisenberg coverings and triple power residue symbols

Hikaru Hirano, Masanori Morishita

arxiv:1906.00627 v1 · 2019-06-03 · 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{I7TRM7O66BSCWZTHSCXA75MK3N}

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	2026-05-17T23:44:24.292232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e7167ddef0642b666790ae0ff58adb73bfd3711b98a01a12dcf4a57388ce99

Aliases

arxiv: 1906.00627 · arxiv_version: 1906.00627v1 · doi: 10.48550/arxiv.1906.00627 · pith_short_12: I7TRM7O66BSC · pith_short_16: I7TRM7O66BSCWZTH · pith_short_8: I7TRM7O6

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/I7TRM7O66BSCWZTHSCXA75MK3N \
  | 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: 47e7167ddef0642b666790ae0ff58adb73bfd3711b98a01a12dcf4a57388ce99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ff1d3b09d657f1c776fc323042c59c12517a2a98fe8a4b86c8559253a1cf0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-03T08:22:54Z",
    "title_canon_sha256": "55e8200057c8c8604cae1c835f9b9e91d337303a88ee58f2806a1bcd60c4eeb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00627",
    "kind": "arxiv",
    "version": 1
  }
}