Pith Number

pith:K5HZHUEZ

pith:2014:K5HZHUEZQOSR2KBMM45QFYKVZN

not attested not anchored not stored refs pending

On a generalized conjecture of Hopf with symmetry

Lee Kennard, Manuel Amann

arxiv:1402.7255 v1 · 2014-02-28 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5HZHUEZQOSR2KBMM45QFYKVZN}

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	2026-05-17T23:53:14.629655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

574f93d09983a51d282c673b02e155cb40e661d71e5fe28e60f4ece61cb23959

Aliases

arxiv: 1402.7255 · arxiv_version: 1402.7255v1 · doi: 10.48550/arxiv.1402.7255 · pith_short_12: K5HZHUEZQOSR · pith_short_16: K5HZHUEZQOSR2KBM · pith_short_8: K5HZHUEZ

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/K5HZHUEZQOSR2KBMM45QFYKVZN \
  | 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: 574f93d09983a51d282c673b02e155cb40e661d71e5fe28e60f4ece61cb23959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb15928bf27b154724d4a076ef8569f72e73bd8321aaad231a724b166e7687c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-02-28T14:22:09Z",
    "title_canon_sha256": "54745dda063766119dd409a9b91891b5a6a556c8dd685360cac6ce2ca5669e60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.7255",
    "kind": "arxiv",
    "version": 1
  }
}