Pith Number

pith:YJWXI5P7

pith:2016:YJWXI5P74SGC2WIBR4ZS6F4WWD

not attested not anchored not stored refs pending

Isometric realization of cross caps as formal power series and its applications

Atsufumi Honda, Kosuke Naokawa, Kotaro Yamada, Masaaki Umehara

arxiv:1601.06265 v1 · 2016-01-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJWXI5P74SGC2WIBR4ZS6F4WWD}

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	2026-05-18T01:22:04.894924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c26d7475ffe48c2d59018f332f1796b0ef6b014df71b1a4afa0e70d7cd2200bb

Aliases

arxiv: 1601.06265 · arxiv_version: 1601.06265v1 · doi: 10.48550/arxiv.1601.06265 · pith_short_12: YJWXI5P74SGC · pith_short_16: YJWXI5P74SGC2WIB · pith_short_8: YJWXI5P7

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/YJWXI5P74SGC2WIBR4ZS6F4WWD \
  | 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: c26d7475ffe48c2d59018f332f1796b0ef6b014df71b1a4afa0e70d7cd2200bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38f039d41998188d28071bc2b3c3db7b01a55557aac6a0434558a225b62c4f8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-23T13:08:40Z",
    "title_canon_sha256": "ac5ca7e71e39e74128ae329886e562bb819aa51e0ad85a31fe3c19944de6fa98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06265",
    "kind": "arxiv",
    "version": 1
  }
}