Pith Number

pith:KD3ZVWOI

pith:2014:KD3ZVWOIRPRXC6XRBYRJ2PUGBU

not attested not anchored not stored refs pending

A note on collapse, entropy, and vanishing of the Yamabe invariant of symplectic 4-manifolds

Pablo Su\'arez-Serrato, Rafael Torres

arxiv:1408.1586 v2 · 2014-08-07 · math.DG · math.GT · 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{KD3ZVWOIRPRXC6XRBYRJ2PUGBU}

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	2026-05-18T01:42:22.912915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f79ad9c88be3717af10e229d3e860d2a73deed73936fa8ccdd8db49f1a393f

Aliases

arxiv: 1408.1586 · arxiv_version: 1408.1586v2 · doi: 10.48550/arxiv.1408.1586 · pith_short_12: KD3ZVWOIRPRX · pith_short_16: KD3ZVWOIRPRXC6XR · pith_short_8: KD3ZVWOI

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/KD3ZVWOIRPRXC6XRBYRJ2PUGBU \
  | 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: 50f79ad9c88be3717af10e229d3e860d2a73deed73936fa8ccdd8db49f1a393f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "966b2e62682766f01de6d283109b46130955b90fb322537cf1dc30067b0f4698",
    "cross_cats_sorted": [
      "math.GT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-07T13:33:23Z",
    "title_canon_sha256": "1e76f60678b5380b7e83576bba439e0d349389d2429d0bd4d1440753dc1597ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1586",
    "kind": "arxiv",
    "version": 2
  }
}