Pith Number

pith:IVI4DWFQ

pith:2016:IVI4DWFQXIB6JCU264ZSKH3RRO

not attested not anchored not stored refs pending

Integral chains and Bousfield-Kan completion

Jacobson R. Blomquist, John E. Harper

arxiv:1611.04157 v2 · 2016-11-13 · 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{IVI4DWFQXIB6JCU264ZSKH3RRO}

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	2026-05-18T00:03:25.259109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4551c1d8b0ba03e48a9af733251f718b963634df7ede7496fbe5e6b9b00d145c

Aliases

arxiv: 1611.04157 · arxiv_version: 1611.04157v2 · doi: 10.48550/arxiv.1611.04157 · pith_short_12: IVI4DWFQXIB6 · pith_short_16: IVI4DWFQXIB6JCU2 · pith_short_8: IVI4DWFQ

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/IVI4DWFQXIB6JCU264ZSKH3RRO \
  | 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: 4551c1d8b0ba03e48a9af733251f718b963634df7ede7496fbe5e6b9b00d145c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf5aeab9b20e3fab8f03baf885e7cf3fb28512f57ea0481d8633196fb686914",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-11-13T17:06:28Z",
    "title_canon_sha256": "16a24007dd50e03786bbdc1f1fe8f8382d59648408c5314f7eabfabe08d4da5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04157",
    "kind": "arxiv",
    "version": 2
  }
}