Pith Number

pith:UT3JR3VB

pith:2009:UT3JR3VBLUHPVONEG7E4W4PKMK

not attested not anchored not stored refs pending

Multiplicativity of the JLO-character

Otgonbayar Uuye

arxiv:0910.0360 v3 · 2009-10-02 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UT3JR3VBLUHPVONEG7E4W4PKMK}

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	2026-05-18T04:10:57.341085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f698eea15d0efab9a437c9cb71ea62a13dc378a672b28f7f7a807c39b742e7

Aliases

arxiv: 0910.0360 · arxiv_version: 0910.0360v3 · doi: 10.48550/arxiv.0910.0360 · pith_short_12: UT3JR3VBLUHP · pith_short_16: UT3JR3VBLUHPVONE · pith_short_8: UT3JR3VB

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/UT3JR3VBLUHPVONEG7E4W4PKMK \
  | 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: a4f698eea15d0efab9a437c9cb71ea62a13dc378a672b28f7f7a807c39b742e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999d358a58f979532250c7089112cb388708443d70493c0b502f537daf33bad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2009-10-02T09:45:32Z",
    "title_canon_sha256": "e9fb566f8bb904bff9269eb407b7e2c373bd0b88458ce1f243e015dc052e2bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0360",
    "kind": "arxiv",
    "version": 3
  }
}