Pith Number

pith:DPZSCUCZ

pith:2026:DPZSCUCZEFCAEYYBR2WVXZXP4F

not attested not anchored not stored refs pending

Categorical Hopf map

Ali Khalili Samani

arxiv:2606.12482 v1 · 2026-06-10 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPZSCUCZEFCAEYYBR2WVXZXP4F}

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	2026-06-12T00:07:51.796578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bf321505921440263018ead5be6efe17df9149b9274b7818624fdf8e403f706

Aliases

arxiv: 2606.12482 · arxiv_version: 2606.12482v1 · doi: 10.48550/arxiv.2606.12482 · pith_short_12: DPZSCUCZEFCA · pith_short_16: DPZSCUCZEFCAEYYB · pith_short_8: DPZSCUCZ

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/DPZSCUCZEFCAEYYBR2WVXZXP4F \
  | 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: 1bf321505921440263018ead5be6efe17df9149b9274b7818624fdf8e403f706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa8ee6e1be51041c5f8dc7e41e8210e5d90fb2f076a31e7ebfdb4962e9f2c5a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-10T08:02:29Z",
    "title_canon_sha256": "e28671a66298c8210a4e855dde78617c28528d55bd8fbe2e3f7ffea58a55668f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12482",
    "kind": "arxiv",
    "version": 1
  }
}