Pith Number

pith:V4L437L7

pith:2018:V4L437L7XFRSYXPMF4UIXN5DTP

not attested not anchored not stored refs pending

Characterization of pseudo-collarable manifolds with boundary

Shijie Gu

arxiv:1807.11405 v2 · 2018-07-30 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4L437L7XFRSYXPMF4UIXN5DTP}

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	2026-05-17T23:48:06.577713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af17cdfd7fb9632c5dec2f288bb7a39bfb2069310d5538036ffc23f30486c45c

Aliases

arxiv: 1807.11405 · arxiv_version: 1807.11405v2 · doi: 10.48550/arxiv.1807.11405 · pith_short_12: V4L437L7XFRS · pith_short_16: V4L437L7XFRSYXPM · pith_short_8: V4L437L7

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/V4L437L7XFRSYXPMF4UIXN5DTP \
  | 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: af17cdfd7fb9632c5dec2f288bb7a39bfb2069310d5538036ffc23f30486c45c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269eb40f7bf38d708d94eb2711888f63594a7ebba60a5e58593168d5730df11f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-07-30T15:56:37Z",
    "title_canon_sha256": "2d42139a3a86fe2e98c28f4d398ccd17fe1693759148ffa67ebace058663656d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11405",
    "kind": "arxiv",
    "version": 2
  }
}