Pith Number

pith:PSLUGOOC

pith:2018:PSLUGOOCI3GW2LE6DIG7BSEPSF

not attested not anchored not stored refs pending

Characteristic numbers of manifold bundles over surfaces with highly connected fibers

Jens Reinhold, Manuel Krannich

arxiv:1807.11539 v2 · 2018-07-30 · math.AT · 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{PSLUGOOCI3GW2LE6DIG7BSEPSF}

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	2026-07-05T03:55:23.530338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c974339c246cd6d2c9e1a0df0c88f9178302d2aba52e07164edfcabde4f2c77

Aliases

arxiv: 1807.11539 · arxiv_version: 1807.11539v2 · doi: 10.48550/arxiv.1807.11539 · pith_short_12: PSLUGOOCI3GW · pith_short_16: PSLUGOOCI3GW2LE6 · pith_short_8: PSLUGOOC

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/PSLUGOOCI3GW2LE6DIG7BSEPSF \
  | 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: 7c974339c246cd6d2c9e1a0df0c88f9178302d2aba52e07164edfcabde4f2c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed08e6eec62e7403ec3b292ffd0f9ee5393a51ddbd4ccec79cd0fd8bdfdc34e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-07-30T19:28:20Z",
    "title_canon_sha256": "047b27afc2c7e7887ad3841e02d815253ed9b15f819b83c92ea0cee959acabea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11539",
    "kind": "arxiv",
    "version": 2
  }
}