Pith Number

pith:AOKC7IKL

pith:2025:AOKC7IKLC7X3D5ZE6FL4IPUGUZ

not attested not anchored not stored refs pending

Free Circle Actions on the Product of Three Spheres

Dimpi, Hemant Kumar Singh

arxiv:2505.21993 v2 · 2025-05-28 · 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{AOKC7IKLC7X3D5ZE6FL4IPUGUZ}

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	2026-07-05T11:24:21.229159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03942fa14b17efb1f724f157c43e86a66d474e00f732f652bc5c53033d41b1fe

Aliases

arxiv: 2505.21993 · arxiv_version: 2505.21993v2 · doi: 10.48550/arxiv.2505.21993 · pith_short_12: AOKC7IKLC7X3 · pith_short_16: AOKC7IKLC7X3D5ZE · pith_short_8: AOKC7IKL

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/AOKC7IKLC7X3D5ZE6FL4IPUGUZ \
  | 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: 03942fa14b17efb1f724f157c43e86a66d474e00f732f652bc5c53033d41b1fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f5dd424752c8312a2625126cf6a96bb5708a5e7f24ae6bf161f8ef56187297d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-05-28T05:47:27Z",
    "title_canon_sha256": "a06166b626e7663981ea01707ab86df2cb247cca76ed4f8fb6a67532dc39ddc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21993",
    "kind": "arxiv",
    "version": 2
  }
}