Pith Number

pith:TGAO3FM7

pith:2016:TGAO3FM7ZL2HRM4FCC5HBWEDDT

not attested not anchored not stored refs pending

The Pontrjagin Dual of 3-Dimensional Spin Bordism

Greg Brumfiel, John Morgan

arxiv:1612.02860 v2 · 2016-12-08 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGAO3FM7ZL2HRM4FCC5HBWEDDT}

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	2026-05-18T00:18:57.145185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9980ed959fcaf478b38510ba70d8831cf0bd591a51967991779cbe0db3b698ad

Aliases

arxiv: 1612.02860 · arxiv_version: 1612.02860v2 · doi: 10.48550/arxiv.1612.02860 · pith_short_12: TGAO3FM7ZL2H · pith_short_16: TGAO3FM7ZL2HRM4F · pith_short_8: TGAO3FM7

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/TGAO3FM7ZL2HRM4FCC5HBWEDDT \
  | 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: 9980ed959fcaf478b38510ba70d8831cf0bd591a51967991779cbe0db3b698ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3ffa11e9f53cb93dd252d1d83c4263c624978aa9fbe84ea4edddc248aa94ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-12-08T22:27:42Z",
    "title_canon_sha256": "c62d55537ace894159942e326edeb6e6baf1ba3986e9d067d333f655a36b79d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02860",
    "kind": "arxiv",
    "version": 2
  }
}