Pith Number

pith:LG7EZDM5

pith:2017:LG7EZDM5CWFCY5JBFZ27YJ27DH

not attested not anchored not stored refs pending

Algebraic chromatic homotopy theory for $BP_*BP$-comodules

Drew Heard, Tobias Barthel

arxiv:1708.09261 v1 · 2017-08-30 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LG7EZDM5CWFCY5JBFZ27YJ27DH}

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	2026-05-18T00:12:19.380239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59be4c8d9d158a2c75212e75fc275f19ecaaa420f7c3ddb133c4be045c20b55c

Aliases

arxiv: 1708.09261 · arxiv_version: 1708.09261v1 · doi: 10.48550/arxiv.1708.09261 · pith_short_12: LG7EZDM5CWFC · pith_short_16: LG7EZDM5CWFCY5JB · pith_short_8: LG7EZDM5

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/LG7EZDM5CWFCY5JBFZ27YJ27DH \
  | 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: 59be4c8d9d158a2c75212e75fc275f19ecaaa420f7c3ddb133c4be045c20b55c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2a6c4b36a248c902e10e401dfc660fbdd27bd20aa48ff259586a590380b11e7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-08-30T13:37:19Z",
    "title_canon_sha256": "9df4990b9fa0ba09e0ff09d63bffc5cdf6bf524a7c08bcc6cef41ccee4e3c20e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09261",
    "kind": "arxiv",
    "version": 1
  }
}