Pith Number

pith:2JWH2YMS

pith:2014:2JWH2YMS5OL3WHH6JTMZUS5HHT

not attested not anchored not stored refs pending

The monochromatic Hopf invariant

Guozhen Wang

arxiv:1410.7292 v1 · 2014-10-27 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JWH2YMS5OL3WHH6JTMZUS5HHT}

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	2026-05-18T02:39:17.636937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d26c7d6192eb97bb1cfe4cd99a4ba73ce5857706ec69d321ca2b7621ba88d926

Aliases

arxiv: 1410.7292 · arxiv_version: 1410.7292v1 · doi: 10.48550/arxiv.1410.7292 · pith_short_12: 2JWH2YMS5OL3 · pith_short_16: 2JWH2YMS5OL3WHH6 · pith_short_8: 2JWH2YMS

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/2JWH2YMS5OL3WHH6JTMZUS5HHT \
  | 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: d26c7d6192eb97bb1cfe4cd99a4ba73ce5857706ec69d321ca2b7621ba88d926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7eb7a68b2c8192e59e6cbc4b11986aed56e299ee5df6bbbb8fefee21ad3f17d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-10-27T16:12:31Z",
    "title_canon_sha256": "d447203ceee97608c2fb704fa38905b2cc51f3c932dece6d6a3c9d8a004f1edd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7292",
    "kind": "arxiv",
    "version": 1
  }
}