Pith Number

pith:IKJVRCGE

pith:2011:IKJVRCGEMGSCKK2NT2DWUWMATV

not attested not anchored not stored refs pending

Geography of symplectic 4- and 6-manifolds

Jonathan Yazinski, Rafael Torres

arxiv:1107.3954 v2 · 2011-07-20 · math.SG · math.DG · 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{IKJVRCGEMGSCKK2NT2DWUWMATV}

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	2026-05-18T04:08:12.346835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42935888c461a4252b4d9e876a59809d457849901d36579c563888378d8391c4

Aliases

arxiv: 1107.3954 · arxiv_version: 1107.3954v2 · doi: 10.48550/arxiv.1107.3954 · pith_short_12: IKJVRCGEMGSC · pith_short_16: IKJVRCGEMGSCKK2N · pith_short_8: IKJVRCGE

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/IKJVRCGEMGSCKK2NT2DWUWMATV \
  | 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: 42935888c461a4252b4d9e876a59809d457849901d36579c563888378d8391c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58665e0f068651e015c137a949e5dbbc0bf882b9186767999468c3d3838416d4",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-07-20T12:16:38Z",
    "title_canon_sha256": "b711c7f11da5e2ff48416beb5116674e5967e564d039abc4c2ba253d5d788b8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3954",
    "kind": "arxiv",
    "version": 2
  }
}