Pith Number

pith:KTJSN46S

pith:2010:KTJSN46SWGKICLF6T2RU6NZPXQ

not attested not anchored not stored refs pending

Intertwinors on Functions over the Product of Spheres

Doojin Hong

arxiv:1007.5069 v2 · 2010-07-28 · 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{KTJSN46SWGKICLF6T2RU6NZPXQ}

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	2026-05-18T04:32:00.632767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d326f3d2b194812cbe9ea34f372fbc176088dab5419f8253e6242cd9b37f06

Aliases

arxiv: 1007.5069 · arxiv_version: 1007.5069v2 · doi: 10.48550/arxiv.1007.5069 · pith_short_12: KTJSN46SWGKI · pith_short_16: KTJSN46SWGKICLF6 · pith_short_8: KTJSN46S

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/KTJSN46SWGKICLF6T2RU6NZPXQ \
  | 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: 54d326f3d2b194812cbe9ea34f372fbc176088dab5419f8253e6242cd9b37f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "872bb9f7096cac41546b1b1f3f9f6c11630c68f142ce6783379bbab773d90b48",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-07-28T20:06:16Z",
    "title_canon_sha256": "409211e2ff0331e8893be4b7f3bbb191d28bc44a4d2752ce0f992f168d469dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5069",
    "kind": "arxiv",
    "version": 2
  }
}