Pith Number

pith:55KR3TND

pith:2013:55KR3TNDMH3TBTSEQH37UIWC33

not attested not anchored not stored refs pending

Gottlieb Groups of Function Spaces

Gregory Lupton, Samuel Bruce Smith

arxiv:1302.1826 v1 · 2013-02-07 · 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{55KR3TNDMH3TBTSEQH37UIWC33}

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	2026-05-18T02:03:38.420497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef551dcda361f730ce4481f7fa22c2deced4149b88bd59765777c05a5cd1dc48

Aliases

arxiv: 1302.1826 · arxiv_version: 1302.1826v1 · doi: 10.48550/arxiv.1302.1826 · pith_short_12: 55KR3TNDMH3T · pith_short_16: 55KR3TNDMH3TBTSE · pith_short_8: 55KR3TND

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/55KR3TNDMH3TBTSEQH37UIWC33 \
  | 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: ef551dcda361f730ce4481f7fa22c2deced4149b88bd59765777c05a5cd1dc48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba3b620f649d97fbf03762817e02b97c261bed1a7d3e21b5908d6982fc173996",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-02-07T18:50:09Z",
    "title_canon_sha256": "0671b8d97944d5e657b35777f2f4d5d1a6b36938eed127082c63170cc907d0f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1826",
    "kind": "arxiv",
    "version": 1
  }
}