Pith Number

pith:727QCE7E

pith:2013:727QCE7ECZ67IM4IBV6CP4PV4R

not attested not anchored not stored refs pending

Fixed-point free circle actions on 4-manifolds

Weimin Chen

arxiv:1303.0852 v3 · 2013-03-04 · 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{727QCE7ECZ67IM4IBV6CP4PV4R}

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	2026-05-18T01:21:56.153066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

febf0113e4167df433880d7c27f1f5e450ab47e8c9adaa725c698a9c59a92db7

Aliases

arxiv: 1303.0852 · arxiv_version: 1303.0852v3 · doi: 10.48550/arxiv.1303.0852 · pith_short_12: 727QCE7ECZ67 · pith_short_16: 727QCE7ECZ67IM4I · pith_short_8: 727QCE7E

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/727QCE7ECZ67IM4IBV6CP4PV4R \
  | 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: febf0113e4167df433880d7c27f1f5e450ab47e8c9adaa725c698a9c59a92db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d37775be1c285ed70624ea9b4be2730c98dbb3d651ada4c05e6640448226ba51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-04T21:08:29Z",
    "title_canon_sha256": "be78b2ff09b181d8a1cb9c2a6716b29a8ffceae7611f8b2547b57cacdc0ea0ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0852",
    "kind": "arxiv",
    "version": 3
  }
}