Pith Number

pith:TQGR7QKI

pith:2011:TQGR7QKIVLS5SNVRDLBBRZDGYH

not attested not anchored not stored refs pending

A Poincar\'e-Birkhoff theorem for tight Reeb flows on $S^3$

Al Momin, Pedro A. S. Salom\~ao, Umberto Hryniewicz

arxiv:1110.3782 v3 · 2011-10-17 · math.DS · 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{TQGR7QKIVLS5SNVRDLBBRZDGYH}

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	2026-05-18T02:55:04.456004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0d1fc148aae5d936b11ac218e466c1e83fb2e91a1d9b67c9a80cbd036af53c

Aliases

arxiv: 1110.3782 · arxiv_version: 1110.3782v3 · doi: 10.48550/arxiv.1110.3782 · pith_short_12: TQGR7QKIVLS5 · pith_short_16: TQGR7QKIVLS5SNVR · pith_short_8: TQGR7QKI

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/TQGR7QKIVLS5SNVRDLBBRZDGYH \
  | 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: 9c0d1fc148aae5d936b11ac218e466c1e83fb2e91a1d9b67c9a80cbd036af53c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea16e9e7e85e65b3ce4a9a5d7f33873674d7a52dbb4719a8317de3dd9d3d0332",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-17T19:52:07Z",
    "title_canon_sha256": "19cadec48959934b6368083a6a0f7a66385ab432b52009ea15c6ed13b53b4913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3782",
    "kind": "arxiv",
    "version": 3
  }
}