Pith Number

pith:XQGZIND5

pith:2016:XQGZIND5BCXG7SPPV5CFNNUS5E

not attested not anchored not stored refs pending

Properties of minimal charts and their applications IV: Loops

Akiko Shima, Teruo Nagase

arxiv:1603.04639 v1 · 2016-03-15 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQGZIND5BCXG7SPPV5CFNNUS5E}

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	2026-05-18T00:47:29.302993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0d94347d08ae6fc9efaf4456b692e9189a5e562ad6937fa3b01097cf5ed089

Aliases

arxiv: 1603.04639 · arxiv_version: 1603.04639v1 · doi: 10.48550/arxiv.1603.04639 · pith_short_12: XQGZIND5BCXG · pith_short_16: XQGZIND5BCXG7SPP · pith_short_8: XQGZIND5

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/XQGZIND5BCXG7SPPV5CFNNUS5E \
  | 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: bc0d94347d08ae6fc9efaf4456b692e9189a5e562ad6937fa3b01097cf5ed089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f1b06f1cc6bef2b19610777fa8d47f303fc7fc99e2312f7b9d9ff3b459e9f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-15T11:20:30Z",
    "title_canon_sha256": "9f0b85de5a9cf17f7a71ff02a5f40bc150b0cc13c7b9bf64ebb19fb607fbb2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04639",
    "kind": "arxiv",
    "version": 1
  }
}