Pith Number

pith:A3QFNEEX

pith:2014:A3QFNEEXGV4HTADTRAKHU2RBX7

not attested not anchored not stored refs pending

An algebraic model for commutative HZ-algebras

Birgit Richter, Brooke Shipley

arxiv:1411.7238 v2 · 2014-11-26 · 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{A3QFNEEXGV4HTADTRAKHU2RBX7}

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	2026-05-18T00:21:00.714468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e0569097357879807388147a6a21bfea987619fba812db78a6d0e723711262

Aliases

arxiv: 1411.7238 · arxiv_version: 1411.7238v2 · doi: 10.48550/arxiv.1411.7238 · pith_short_12: A3QFNEEXGV4H · pith_short_16: A3QFNEEXGV4HTADT · pith_short_8: A3QFNEEX

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/A3QFNEEXGV4HTADTRAKHU2RBX7 \
  | 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: 06e0569097357879807388147a6a21bfea987619fba812db78a6d0e723711262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb1e4df70a6d7af23a0d3d67c866c983eef53ae4cd2893caf051ecef38e674c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-11-26T14:18:54Z",
    "title_canon_sha256": "779ae66c7436a6aa07019559488b40bb11207a9ef49ca2564112c3e432933cee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7238",
    "kind": "arxiv",
    "version": 2
  }
}