Pith Number

pith:QNUIUECT

pith:2011:QNUIUECTGSPFVVCC3XKJKT7CU5

not attested not anchored not stored refs pending

Goodwillie calculus and Whitehead products

Boris Chorny, Jerome Scherer

arxiv:1109.2691 v1 · 2011-09-13 · 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{QNUIUECTGSPFVVCC3XKJKT7CU5}

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	2026-05-18T01:30:00.041602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83688a1053349e5ad442ddd4954fe2a7515652c0715af6b06a3e2ec6511054af

Aliases

arxiv: 1109.2691 · arxiv_version: 1109.2691v1 · doi: 10.48550/arxiv.1109.2691 · pith_short_12: QNUIUECTGSPF · pith_short_16: QNUIUECTGSPFVVCC · pith_short_8: QNUIUECT

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/QNUIUECTGSPFVVCC3XKJKT7CU5 \
  | 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: 83688a1053349e5ad442ddd4954fe2a7515652c0715af6b06a3e2ec6511054af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d556d43368d25b4f544c6f3f58d97bc1e2f763d647100486e04be2219a64d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-13T07:33:40Z",
    "title_canon_sha256": "c78f105af52fa1fba5696208071d16cf72839c6b9bf9b5616c7ba63f634ebf9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2691",
    "kind": "arxiv",
    "version": 1
  }
}