Pith Number

pith:3EDUOEHA

pith:2022:3EDUOEHAQUFBQOMKCG7QFK2LIO

not attested not anchored not stored refs pending

The structures of pointwise recurrent quasi-graph maps

Enhui Shi, Suhua Wang, Ziqi Yu

arxiv:2211.07905 v1 · 2022-11-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EDUOEHAQUFBQOMKCG7QFK2LIO}

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	2026-07-05T05:16:07.745627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9074710e0850a18398a11bf02ab4b43a2c233aafc14a2c2f1f28dc5fc298648

Aliases

arxiv: 2211.07905 · arxiv_version: 2211.07905v1 · doi: 10.48550/arxiv.2211.07905 · pith_short_12: 3EDUOEHAQUFB · pith_short_16: 3EDUOEHAQUFBQOMK · pith_short_8: 3EDUOEHA

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/3EDUOEHAQUFBQOMKCG7QFK2LIO \
  | 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: d9074710e0850a18398a11bf02ab4b43a2c233aafc14a2c2f1f28dc5fc298648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "795df02b7abc4502e05132fdb788d65578736277767db5c9e88d223793bdcf57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-11-15T05:21:32Z",
    "title_canon_sha256": "604fb5da3f4b529b9e8f4cb41e0eaf24c5ce3068b9a78684827305ba395e2cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.07905",
    "kind": "arxiv",
    "version": 1
  }
}