Pith Number

pith:Q27YDV75

pith:2016:Q27YDV75ZGJCUWDM7D2IJ6CVY3

not attested not anchored not stored refs pending

A Hamiltonian version of a result of Gromoll and Grove

Christian Lange, Stefan Suhr, Urs Frauenfelder

arxiv:1603.05107 v2 · 2016-03-16 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q27YDV75ZGJCUWDM7D2IJ6CVY3}

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	2026-05-18T01:17:59.060835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86bf81d7fdc9922a586cf8f484f855c6d1f64a36f6b1c54d9422f3ccad1b85e9

Aliases

arxiv: 1603.05107 · arxiv_version: 1603.05107v2 · doi: 10.48550/arxiv.1603.05107 · pith_short_12: Q27YDV75ZGJC · pith_short_16: Q27YDV75ZGJCUWDM · pith_short_8: Q27YDV75

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/Q27YDV75ZGJCUWDM7D2IJ6CVY3 \
  | 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: 86bf81d7fdc9922a586cf8f484f855c6d1f64a36f6b1c54d9422f3ccad1b85e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d54a6bf7504c82cc4730eb1551f6601306cd98d77ed758496214b472844dcf",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-16T14:10:15Z",
    "title_canon_sha256": "0a36a66c1d67cdcf02c165db5e1a66d7943a2743d2dc3acfd964d9a1157d15f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05107",
    "kind": "arxiv",
    "version": 2
  }
}