Pith Number

pith:6YTD6BEJ

pith:2015:6YTD6BEJEKUXJ7ACE7K2IVHEYM

not attested not anchored not stored refs pending

Topological Hochschild homology and the cyclic bar construction in symmetric spectra

Irakli Patchkoria, Steffen Sagave

arxiv:1508.03129 v2 · 2015-08-13 · math.AT · 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{6YTD6BEJEKUXJ7ACE7K2IVHEYM}

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	2026-05-18T01:11:33.432588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6263f048922a974fc0227d5a454e4c32f341424442f873d60308596b4e56b49

Aliases

arxiv: 1508.03129 · arxiv_version: 1508.03129v2 · doi: 10.48550/arxiv.1508.03129 · pith_short_12: 6YTD6BEJEKUX · pith_short_16: 6YTD6BEJEKUXJ7AC · pith_short_8: 6YTD6BEJ

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/6YTD6BEJEKUXJ7ACE7K2IVHEYM \
  | 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: f6263f048922a974fc0227d5a454e4c32f341424442f873d60308596b4e56b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d2b9eff37889b7cde1ed5143629cb380a5b9f5f0ecc75622763d95584be4f56",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-08-13T06:29:32Z",
    "title_canon_sha256": "d1994a7d5038eb1b4d936700436eb6b34cb7098598ef234ba06a548f2d9df963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03129",
    "kind": "arxiv",
    "version": 2
  }
}