Pith Number

pith:VIOFK3BG

pith:2013:VIOFK3BGCMNKLMMCHHJLLEL662

not attested not anchored not stored refs pending

On local fixed or periodic point properties

Alejandro Illanes, Paw{\l} Krupski

arxiv:1401.0041 v1 · 2013-12-30 · 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{VIOFK3BGCMNKLMMCHHJLLEL662}

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	2026-05-18T01:24:08.955096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1c556c26131aa5b18239d2b5917ef6930e3fba84d835b71f6fc56dbc3a1092

Aliases

arxiv: 1401.0041 · arxiv_version: 1401.0041v1 · doi: 10.48550/arxiv.1401.0041 · pith_short_12: VIOFK3BGCMNK · pith_short_16: VIOFK3BGCMNKLMMC · pith_short_8: VIOFK3BG

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/VIOFK3BGCMNKLMMCHHJLLEL662 \
  | 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: aa1c556c26131aa5b18239d2b5917ef6930e3fba84d835b71f6fc56dbc3a1092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6148c881f7d24f5646dfaeb5bfc2fa28afb30036098957ec680b269659493908",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-30T22:22:30Z",
    "title_canon_sha256": "f34bc70ae6ff03c00d1dff3b25cd49b4b5edad4e62c136967ba74fc01c6b307c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0041",
    "kind": "arxiv",
    "version": 1
  }
}