Pith Number

pith:JR5I2SZM

pith:2012:JR5I2SZMRTS23TI7ZW4UYQEN52

not attested not anchored not stored refs pending

Singular maps on exotic 4-manifold pairs

Andras I. Stipsicz, Boldizsar Kalmar

arxiv:1205.5919 v2 · 2012-05-26 · 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{JR5I2SZMRTS23TI7ZW4UYQEN52}

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	2026-05-18T02:41:43.144248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c7a8d4b2c8ce5adcd1fcdb94c408dee8de6914cead7b592dc508380669d3329

Aliases

arxiv: 1205.5919 · arxiv_version: 1205.5919v2 · doi: 10.48550/arxiv.1205.5919 · pith_short_12: JR5I2SZMRTS2 · pith_short_16: JR5I2SZMRTS23TI7 · pith_short_8: JR5I2SZM

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/JR5I2SZMRTS23TI7ZW4UYQEN52 \
  | 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: 4c7a8d4b2c8ce5adcd1fcdb94c408dee8de6914cead7b592dc508380669d3329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "900b4209d5951f431f1845d3f734db7be78346e6968b285b040c648eeff46aa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-26T22:29:49Z",
    "title_canon_sha256": "dcf26b61d6d01b9a3a74398904190a80d71945c1c3c51b5f2f2cba84124c215d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5919",
    "kind": "arxiv",
    "version": 2
  }
}