Pith Number

pith:LNMTQGML

pith:2012:LNMTQGMLGM6SP5X5ELZUQVTO74

not attested not anchored not stored refs pending

On the Postnikov towers for real and complex connective K-theory

Robert R. Bruner

arxiv:1208.2232 v1 · 2012-08-10 · 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{LNMTQGMLGM6SP5X5ELZUQVTO74}

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

Topological Elliptic Genera I -- The mathematical foundation

Receipt and verification

First computed	2026-05-18T03:48:59.793629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b5938198b333d27f6fd22f348566eff1965e3589b45694c6447dde248df0997

Aliases

arxiv: 1208.2232 · arxiv_version: 1208.2232v1 · doi: 10.48550/arxiv.1208.2232 · pith_short_12: LNMTQGMLGM6S · pith_short_16: LNMTQGMLGM6SP5X5 · pith_short_8: LNMTQGML

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/LNMTQGMLGM6SP5X5ELZUQVTO74 \
  | 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: 5b5938198b333d27f6fd22f348566eff1965e3589b45694c6447dde248df0997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11d5395a41cf950d647228b655c5218d0535307f5bcb3fe68fb9052027537419",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-08-10T17:54:28Z",
    "title_canon_sha256": "834d2b5a51b883866c6b5c0a7de4581432096f466e3e6ce6d7a713c3ed5cd73d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2232",
    "kind": "arxiv",
    "version": 1
  }
}