Pith Number

pith:6XMGVEJG

pith:2015:6XMGVEJGBMNFQHT7LTMSZ5HV5O

not attested not anchored not stored refs pending

Higher homotopies and Golod rings

Jesse Burke

arxiv:1508.03782 v2 · 2015-08-16 · math.AC · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XMGVEJGBMNFQHT7LTMSZ5HV5O}

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	2026-05-18T01:31:10.608728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5d86a91260b1a581e7f5cd92cf4f5eb94bed7a4efe32f7f8c0d2be80d66532e

Aliases

arxiv: 1508.03782 · arxiv_version: 1508.03782v2 · doi: 10.48550/arxiv.1508.03782 · pith_short_12: 6XMGVEJGBMNF · pith_short_16: 6XMGVEJGBMNFQHT7 · pith_short_8: 6XMGVEJG

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/6XMGVEJGBMNFQHT7LTMSZ5HV5O \
  | 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: f5d86a91260b1a581e7f5cd92cf4f5eb94bed7a4efe32f7f8c0d2be80d66532e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d3245adfca71ac1955f72973ae9011ace5ad536077ec27e6fa44d6bde9cc432",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-08-16T01:37:32Z",
    "title_canon_sha256": "e2a53737ba0aab741ab0fcad1e9868a10f1b9e63b2d9e443869fd0b5f2ba3c6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03782",
    "kind": "arxiv",
    "version": 2
  }
}