Pith Number

pith:KPPAXAWN

pith:2018:KPPAXAWN37Y3Q5ZGNQ6S4BLJQA

not attested not anchored not stored refs pending

Note about Stiefel-Whitney classes on real Bott manifolds

Anna G\k{a}sior

arxiv:1808.08030 v1 · 2018-08-24 · 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{KPPAXAWN37Y3Q5ZGNQ6S4BLJQA}

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	2026-05-18T00:07:22.658145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53de0b82cddff1b877266c3d2e05698025484e0fad073481f0e5ddcba872af75

Aliases

arxiv: 1808.08030 · arxiv_version: 1808.08030v1 · doi: 10.48550/arxiv.1808.08030 · pith_short_12: KPPAXAWN37Y3 · pith_short_16: KPPAXAWN37Y3Q5ZG · pith_short_8: KPPAXAWN

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/KPPAXAWN37Y3Q5ZGNQ6S4BLJQA \
  | 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: 53de0b82cddff1b877266c3d2e05698025484e0fad073481f0e5ddcba872af75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b05ab06c06c8cd910767a9dcbbd1bde3dd6f03128871d72a06797afa88d50411",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-08-24T07:14:06Z",
    "title_canon_sha256": "2325232fcef3a5d013a3c5b0a2359e7fce018bef4f59c1796c06594b97db646c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08030",
    "kind": "arxiv",
    "version": 1
  }
}