Pith Number

pith:XGKIG6DO

pith:2016:XGKIG6DOGOGGDSWFMW7IYOPUP5

not attested not anchored not stored refs pending

Invariant curves of almost periodic twist mappings

Bin Liu, Peng Huang, Xiong Li

arxiv:1606.08938 v1 · 2016-06-29 · 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{XGKIG6DOGOGGDSWFMW7IYOPUP5}

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	2026-05-18T01:11:42.025799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b99483786e338c61cac565be8c39f47f606c865896c45ef27fc9ff0a7646c211

Aliases

arxiv: 1606.08938 · arxiv_version: 1606.08938v1 · doi: 10.48550/arxiv.1606.08938 · pith_short_12: XGKIG6DOGOGG · pith_short_16: XGKIG6DOGOGGDSWF · pith_short_8: XGKIG6DO

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/XGKIG6DOGOGGDSWFMW7IYOPUP5 \
  | 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: b99483786e338c61cac565be8c39f47f606c865896c45ef27fc9ff0a7646c211

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b298145ed6138816c6d5e9561d7129f80e81b386d0e85a381f7593c31e5010e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-06-29T02:31:18Z",
    "title_canon_sha256": "a7a4f3db577ee7143722b348b1ec0de99796607ffcd3ebad5d89a6762cb4fb1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08938",
    "kind": "arxiv",
    "version": 1
  }
}