Pith Number

pith:RHGZM2U4

pith:2010:RHGZM2U442YDGZPLDPF4B5S5S2

not attested not anchored not stored refs pending

Contact homology of good toric contact manifolds

Leonardo Macarini, Miguel Abreu

arxiv:1005.3787 v3 · 2010-05-20 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RHGZM2U442YDGZPLDPF4B5S5S2}

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	2026-05-17T23:53:36.964801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89cd966a9ce6b03365eb1bcbc0f65d96b809552f51711f826e0b99feb3686ac3

Aliases

arxiv: 1005.3787 · arxiv_version: 1005.3787v3 · doi: 10.48550/arxiv.1005.3787 · pith_short_12: RHGZM2U442YD · pith_short_16: RHGZM2U442YDGZPL · pith_short_8: RHGZM2U4

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/RHGZM2U442YDGZPLDPF4B5S5S2 \
  | 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: 89cd966a9ce6b03365eb1bcbc0f65d96b809552f51711f826e0b99feb3686ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca0fbf9a6a642497a29c328528f14ada439cec239bf889beea15542873246fe",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-05-20T18:44:43Z",
    "title_canon_sha256": "becf5d1becfb26bd8ec42162a8414560132e2b34b936c18a561ea620400563dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3787",
    "kind": "arxiv",
    "version": 3
  }
}