Pith Number

pith:YGEXV5Z2

pith:2017:YGEXV5Z2Y4J4ZZVDDRT7KZH3CY

not attested not anchored not stored refs pending

Equivalent definitions of oscillating sequences of higher orders

Ruxi Shi

arxiv:1705.07827 v2 · 2017-05-22 · 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{YGEXV5Z2Y4J4ZZVDDRT7KZH3CY}

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	2026-05-18T00:18:46.506602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1897af73ac713cce6a31c67f564fb1600c8e05c747510db38fbd1ff36155c67

Aliases

arxiv: 1705.07827 · arxiv_version: 1705.07827v2 · doi: 10.48550/arxiv.1705.07827 · pith_short_12: YGEXV5Z2Y4J4 · pith_short_16: YGEXV5Z2Y4J4ZZVD · pith_short_8: YGEXV5Z2

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/YGEXV5Z2Y4J4ZZVDDRT7KZH3CY \
  | 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: c1897af73ac713cce6a31c67f564fb1600c8e05c747510db38fbd1ff36155c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7115cd5c4701e12d29fb4eb52d38b24fb3bf29ad8de53891395bb828cfbda6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-22T16:12:57Z",
    "title_canon_sha256": "f0366538bd7cb9318ccd9d97fa37e8bcd681d6641d8b76debb568f1c4fade543"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07827",
    "kind": "arxiv",
    "version": 2
  }
}