Pith Number

pith:6OQMGDUX

pith:2015:6OQMGDUXD3DQZX4C2NLLPIA4EJ

not attested not anchored not stored refs pending

Derived Koszul duality and TQ-homology completion of structured ring spectra

John E. Harper, Michael Ching

arxiv:1502.06944 v3 · 2015-02-24 · 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{6OQMGDUXD3DQZX4C2NLLPIA4EJ}

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	2026-05-18T01:36:25.688103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3a0c30e971ec70cdf82d356b7a01c225803c14a49863a5ee6687806c7bc626b

Aliases

arxiv: 1502.06944 · arxiv_version: 1502.06944v3 · doi: 10.48550/arxiv.1502.06944 · pith_short_12: 6OQMGDUXD3DQ · pith_short_16: 6OQMGDUXD3DQZX4C · pith_short_8: 6OQMGDUX

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/6OQMGDUXD3DQZX4C2NLLPIA4EJ \
  | 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: f3a0c30e971ec70cdf82d356b7a01c225803c14a49863a5ee6687806c7bc626b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dac5da8e896b1d56a6183af448103ca766a6d4d3f2c17645e1e473c8c52aac0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-02-24T20:32:52Z",
    "title_canon_sha256": "989275c9c83492f116a848facef32192f27d7c677b12b5ecb937f278efc1ba19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06944",
    "kind": "arxiv",
    "version": 3
  }
}