Pith Number

pith:ZCQSJXN2

pith:2017:ZCQSJXN2E2LWBDLSTPKXIEQHUD

not attested not anchored not stored refs pending

Invariant curves of smooth quasi-periodic mappings

Bin Liu, Peng Huang, Xiong Li

arxiv:1705.08762 v1 · 2017-05-24 · 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{ZCQSJXN2E2LWBDLSTPKXIEQHUD}

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	2026-05-18T00:43:44.340856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8a124ddba2697608d729bd5741207a0cf22215ef9aa4db1ac2794280798dfb2

Aliases

arxiv: 1705.08762 · arxiv_version: 1705.08762v1 · doi: 10.48550/arxiv.1705.08762 · pith_short_12: ZCQSJXN2E2LW · pith_short_16: ZCQSJXN2E2LWBDLS · pith_short_8: ZCQSJXN2

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/ZCQSJXN2E2LWBDLSTPKXIEQHUD \
  | 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: c8a124ddba2697608d729bd5741207a0cf22215ef9aa4db1ac2794280798dfb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1992ad7a228b7d311569cf3ffdeec2b0b1b5b7cd39a379d230dc4fa64024c8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-24T13:49:25Z",
    "title_canon_sha256": "0a89b96e7c841c26b5f4919385929c07e5873625db1404e16ec984bbeb8f7e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08762",
    "kind": "arxiv",
    "version": 1
  }
}