Pith Number

pith:XD5LOG5G

pith:2022:XD5LOG5G3TQZTPJRRGNFKLWLT2

not attested not anchored not stored refs pending

Nielsen Realization for sphere twists on 3-manifolds

Bena Tshishiku, Lei Chen

arxiv:2204.04820 v2 · 2022-04-11 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XD5LOG5G3TQZTPJRRGNFKLWLT2}

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	2026-07-05T04:17:22.123676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8fab71ba6dce199bd31899a552ecb9ebee48bae3293aa9525e372d9ccaabf40

Aliases

arxiv: 2204.04820 · arxiv_version: 2204.04820v2 · doi: 10.48550/arxiv.2204.04820 · pith_short_12: XD5LOG5G3TQZ · pith_short_16: XD5LOG5G3TQZTPJR · pith_short_8: XD5LOG5G

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/XD5LOG5G3TQZTPJRRGNFKLWLT2 \
  | 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: b8fab71ba6dce199bd31899a552ecb9ebee48bae3293aa9525e372d9ccaabf40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ef1ae08793a9f8688f715a0e8653c85129ed8473a64c7d19df99341d94247fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-04-11T01:24:54Z",
    "title_canon_sha256": "a4d03baba607a031eb6875eccd81f2de860ee2a61cda9484c499d73c49dd97f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.04820",
    "kind": "arxiv",
    "version": 2
  }
}