Pith Number

pith:T46ARMMF

pith:2011:T46ARMMFNHR3ZMXSYGBQGLFW6M

not attested not anchored not stored refs pending

Extremal spectral properties of Otsuki tori

Alexei V. Penskoi

arxiv:1108.5160 v3 · 2011-08-25 · math.SP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T46ARMMFNHR3ZMXSYGBQGLFW6M}

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	2026-05-18T03:32:59.044883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f3c08b18569e3bcb2f2c183032cb6f3049125851979090c9debea216443b4c3

Aliases

arxiv: 1108.5160 · arxiv_version: 1108.5160v3 · doi: 10.48550/arxiv.1108.5160 · pith_short_12: T46ARMMFNHR3 · pith_short_16: T46ARMMFNHR3ZMXS · pith_short_8: T46ARMMF

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/T46ARMMFNHR3ZMXSYGBQGLFW6M \
  | 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: 9f3c08b18569e3bcb2f2c183032cb6f3049125851979090c9debea216443b4c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0345e234429bb9775503fcb02474dbf67125d82a591d7c03824ec53a1aec81",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-08-25T19:08:56Z",
    "title_canon_sha256": "b9b0601bef73cd83b2f825be2738301238591fac859824c1d3864633c895bdf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5160",
    "kind": "arxiv",
    "version": 3
  }
}