Pith Number

pith:IAJHLQUY

pith:2018:IAJHLQUYG2DL4PGZJFHURJL6QK

not attested not anchored not stored refs pending

On the Fr{\o}yshov invariant and monopole Lefschetz number

Daniel Ruberman, Jianfeng Lin, Nikolai Saveliev

arxiv:1802.07704 v1 · 2018-02-21 · 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{IAJHLQUYG2DL4PGZJFHURJL6QK}

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	2026-05-18T00:22:49.606065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

401275c2983686be3cd9494f48a57e829695b77227db1f009516743a1ea589fe

Aliases

arxiv: 1802.07704 · arxiv_version: 1802.07704v1 · doi: 10.48550/arxiv.1802.07704 · pith_short_12: IAJHLQUYG2DL · pith_short_16: IAJHLQUYG2DL4PGZ · pith_short_8: IAJHLQUY

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/IAJHLQUYG2DL4PGZJFHURJL6QK \
  | 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: 401275c2983686be3cd9494f48a57e829695b77227db1f009516743a1ea589fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1b2750f9810c50593b8202ca7a8f24a4cc7150ef163ae27f1386092c431a57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-02-21T18:07:11Z",
    "title_canon_sha256": "635a715592f04671ebe80b4d29297cea723d86d0b0aca1a845a3f5e3de755134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07704",
    "kind": "arxiv",
    "version": 1
  }
}