Pith Number

pith:VXUB34UY

pith:2011:VXUB34UY2JQHM2ACIZTH7ZKMCM

not attested not anchored not stored refs pending

Firing map of an almost periodic input function

(2) Institute of Mathematics, Adam Mickiewicz University of Poznan, Computer Sci., J. Signerska (2) ((1) Faculty of Mathematics, Polish Academy of Sciences), W. Marzantowicz (1)

arxiv:1106.3309 v1 · 2011-06-16 · 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{VXUB34UY2JQHM2ACIZTH7ZKMCM}

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	2026-05-18T04:19:53.735582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade81df298d26076680246667fe54c13338b71ddbcf130e8f44aab9c840cf310

Aliases

arxiv: 1106.3309 · arxiv_version: 1106.3309v1 · doi: 10.48550/arxiv.1106.3309 · pith_short_12: VXUB34UY2JQH · pith_short_16: VXUB34UY2JQHM2AC · pith_short_8: VXUB34UY

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/VXUB34UY2JQHM2ACIZTH7ZKMCM \
  | 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: ade81df298d26076680246667fe54c13338b71ddbcf130e8f44aab9c840cf310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd11b5b421c8cd036e4f275f24ac0eeb35ea50addaf5f8666687014e98e5778c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-16T19:12:01Z",
    "title_canon_sha256": "44497d50b337343b70287869090ba8daf5171612411c72d684309e036ff897a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3309",
    "kind": "arxiv",
    "version": 1
  }
}