Pith Number

pith:6I42BM7J

pith:2023:6I42BM7JXIIOPLJTPHTOG2PAR4

not attested not anchored not stored refs pending

Proof of Hofer-Wysocki-Zehnder's two or infinity conjecture

Dan Cristofaro-Gardiner, Hui Liu, Michael Hutchings, Umberto Hryniewicz

arxiv:2310.07636 v2 · 2023-10-11 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6I42BM7JXIIOPLJTPHTOG2PAR4}

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.

Cited by

2 papers in Pith

On the contact type conjecture for exact magnetic systems

Elementary spectral invariants and three-dimensional Reeb dynamics

Receipt and verification

First computed	2026-07-05T07:59:03.648575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f239a0b3e9ba10e7ad3379e6e369e08f1f046a1b4971ad557a72507529b4ef9b

Aliases

arxiv: 2310.07636 · arxiv_version: 2310.07636v2 · doi: 10.48550/arxiv.2310.07636 · pith_short_12: 6I42BM7JXIIO · pith_short_16: 6I42BM7JXIIOPLJT · pith_short_8: 6I42BM7J

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/6I42BM7JXIIOPLJTPHTOG2PAR4 \
  | 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: f239a0b3e9ba10e7ad3379e6e369e08f1f046a1b4971ad557a72507529b4ef9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c8c9ee91b79323c5e7b2a342212badc6c61a0c0cc47fa469f1d7bd68d83ed7f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2023-10-11T16:33:01Z",
    "title_canon_sha256": "cdeeccec2e398b1d97a7ae3839e11bb4538e74894082d4c6f7d78548a6a5188c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.07636",
    "kind": "arxiv",
    "version": 2
  }
}