Pith Number

pith:JUGF522Z

pith:2018:JUGF522ZLDSFLMQ64QY5FXJ5R5

not attested not anchored not stored refs pending

The Pontrjagin Dual of 4-Dimensional Spin Bordism

Greg Brumfiel, John Morgan

arxiv:1803.08147 v1 · 2018-03-21 · 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{JUGF522ZLDSFLMQ64QY5FXJ5R5}

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.

Cited by

1 paper in Pith

Stable Cohomotopy in Codimensions Two and Three: From Algebraic Characterizations to Bordism-Theoretic Interpretations

Receipt and verification

First computed	2026-05-18T00:20:23.571866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d0c5eeb5958e455b21ee431d2dd3d8f7788297eb0566cae3b812a74c388980a

Aliases

arxiv: 1803.08147 · arxiv_version: 1803.08147v1 · doi: 10.48550/arxiv.1803.08147 · pith_short_12: JUGF522ZLDSF · pith_short_16: JUGF522ZLDSFLMQ6 · pith_short_8: JUGF522Z

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/JUGF522ZLDSFLMQ64QY5FXJ5R5 \
  | 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: 4d0c5eeb5958e455b21ee431d2dd3d8f7788297eb0566cae3b812a74c388980a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861b06fee1c6d692ad447739be4f953a67023c5a2642d76021606fc10fa4ff67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-03-21T21:45:22Z",
    "title_canon_sha256": "ae987ec44d5754d0bb1548cf14d66def01139f8cd70e77ebbb014627e03afc5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08147",
    "kind": "arxiv",
    "version": 1
  }
}