Pith Number

pith:2JFOW3S7

pith:2020:2JFOW3S7W3QIZPMIM3FCT4PKI4

not attested not anchored not stored refs pending

Linear cycles of consecutive lengths

Jie Ma, Liana Yepremyan, Tao Jiang

arxiv:2006.13206 v1 · 2020-06-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JFOW3S7W3QIZPMIM3FCT4PKI4}

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	2026-07-05T01:12:54.123605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d24aeb6e5fb6e08cbd8866ca29f1ea472cf5042789a97452de996956135775c6

Aliases

arxiv: 2006.13206 · arxiv_version: 2006.13206v1 · doi: 10.48550/arxiv.2006.13206 · pith_short_12: 2JFOW3S7W3QI · pith_short_16: 2JFOW3S7W3QIZPMI · pith_short_8: 2JFOW3S7

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/2JFOW3S7W3QIZPMIM3FCT4PKI4 \
  | 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: d24aeb6e5fb6e08cbd8866ca29f1ea472cf5042789a97452de996956135775c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fb7440a01bfe6c3fc75e4bd1e4eeb8c8b6c5c25538a3a2d789b0243c0c9fe84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-06-23T17:59:12Z",
    "title_canon_sha256": "f11beaad54239565da94fe0b7f17fb4c57b76209a7db77eaea3dd97af6d6a703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.13206",
    "kind": "arxiv",
    "version": 1
  }
}