Pith Number

pith:MGVSX2AT

pith:2017:MGVSX2ATQVB6AP44EVURVBYUER

not attested not anchored not stored refs pending

Whitney-type Formula for Non-null-homotopic Curves on Aspherical Surfaces

Masayuki Yamasaki

arxiv:1709.00929 v2 · 2017-09-04 · 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{MGVSX2ATQVB6AP44EVURVBYUER}

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	2026-05-18T00:34:09.507244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ab2be8138543e03f9c25691a871424708f3998a6398ade666bea1d8e9016fb

Aliases

arxiv: 1709.00929 · arxiv_version: 1709.00929v2 · doi: 10.48550/arxiv.1709.00929 · pith_short_12: MGVSX2ATQVB6 · pith_short_16: MGVSX2ATQVB6AP44 · pith_short_8: MGVSX2AT

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/MGVSX2ATQVB6AP44EVURVBYUER \
  | 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: 61ab2be8138543e03f9c25691a871424708f3998a6398ade666bea1d8e9016fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5baf4da97364022a8e7ee86a9ef09878d462fcc6d3826eaffb618b507b48c56c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-09-04T12:52:46Z",
    "title_canon_sha256": "e560585eec3db2fbb25dca39d940f4b33f41a9f17aef6928df1b1aa58958d159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00929",
    "kind": "arxiv",
    "version": 2
  }
}