Pith Number

pith:XPT2EKT3

pith:2017:XPT2EKT35TP5OYPCQVTRK3MKKQ

not attested not anchored not stored refs pending

Simplifying branched covering surface-knots by an addition of 1-handles with chart loops

Inasa Nakamura

arxiv:1707.07888 v2 · 2017-07-25 · 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{XPT2EKT35TP5OYPCQVTRK3MKKQ}

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	2026-05-18T00:16:36.884651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe7a22a7becdfd761e28567156d8a5411cae9417448845b3f2e4a4342f3b8b3

Aliases

arxiv: 1707.07888 · arxiv_version: 1707.07888v2 · doi: 10.48550/arxiv.1707.07888 · pith_short_12: XPT2EKT35TP5 · pith_short_16: XPT2EKT35TP5OYPC · pith_short_8: XPT2EKT3

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/XPT2EKT35TP5OYPCQVTRK3MKKQ \
  | 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: bbe7a22a7becdfd761e28567156d8a5411cae9417448845b3f2e4a4342f3b8b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "917e26a31072d2340ad93c9c581ae5e569c2d309cfc4e07d0e65e399eaa89457",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-07-25T09:54:25Z",
    "title_canon_sha256": "fec1cdae6219025d814fa8cbccf7e88e33da19ead13aa04d7e8da761c0c315ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07888",
    "kind": "arxiv",
    "version": 2
  }
}