Pith Number

pith:GZO64S7K

pith:2026:GZO64S7KLFSZB5AA6HVFPFJEYB

not attested not anchored not stored refs pending

Loop Space Splittings for Codimensional Sphere Bundles

Wen Shen

arxiv:2606.03072 v1 · 2026-06-02 · 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{GZO64S7KLFSZB5AA6HVFPFJEYB}

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	2026-06-03T01:05:30.886210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

365dee4bea596590f400f1ea579524c054cebfd2f7cc6964d96593e1268d2bf0

Aliases

arxiv: 2606.03072 · arxiv_version: 2606.03072v1 · doi: 10.48550/arxiv.2606.03072 · pith_short_12: GZO64S7KLFSZ · pith_short_16: GZO64S7KLFSZB5AA · pith_short_8: GZO64S7K

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/GZO64S7KLFSZB5AA6HVFPFJEYB \
  | 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: 365dee4bea596590f400f1ea579524c054cebfd2f7cc6964d96593e1268d2bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b622b9256a5d603ec312b020a06be7de4d6ad908e7ea0f072b92dc162d6409",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-02T03:02:04Z",
    "title_canon_sha256": "9acf9dc1088f2515ad161d693f7961146fb218fdfa87bf5a86708924dfe6e11a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03072",
    "kind": "arxiv",
    "version": 1
  }
}