Pith Number

pith:PXAJXMWT

pith:2011:PXAJXMWTL4SP7H7GE3HXEU5SNQ

not attested not anchored not stored refs pending

Nil Bohr$_0$-sets, Poincar\'e recurrence and generalized polynomials

Song Shao, Wen Huang, Xiangdong Ye

arxiv:1109.3636 v1 · 2011-09-16 · math.DS · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXAJXMWTL4SP7H7GE3HXEU5SNQ}

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	2026-05-18T04:12:55.434377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc09bb2d35f24ff9fe626cf7253b26c2ec2acd17894a49d06b8a668e0edc9bc

Aliases

arxiv: 1109.3636 · arxiv_version: 1109.3636v1 · doi: 10.48550/arxiv.1109.3636 · pith_short_12: PXAJXMWTL4SP · pith_short_16: PXAJXMWTL4SP7H7G · pith_short_8: PXAJXMWT

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/PXAJXMWTL4SP7H7GE3HXEU5SNQ \
  | 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: 7dc09bb2d35f24ff9fe626cf7253b26c2ec2acd17894a49d06b8a668e0edc9bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f04570c38625ba8ae1e3d9b96b35740419333824b4e6a3a1837b3eefd3ccaa52",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-16T14:49:50Z",
    "title_canon_sha256": "a22c94e6dd68c1a370aeaf2215f1dcf498419bd9a7a9e6fa8bc28d8e5a18e77d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3636",
    "kind": "arxiv",
    "version": 1
  }
}