Pith Number

pith:EQ6464QR

pith:2016:EQ6464QR7V26OGER2E27YY6YPZ

not attested not anchored not stored refs pending

Relative Thom Spectra Via Operadic Kan Extensions

Jonathan Beardsley

arxiv:1601.04123 v4 · 2016-01-16 · 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{EQ6464QR7V26OGER2E27YY6YPZ}

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	2026-05-18T00:44:58.195392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

243dcf7211fd75e71891d135fc63d87e40570558439cd3702a5bc1dbc68df9b4

Aliases

arxiv: 1601.04123 · arxiv_version: 1601.04123v4 · doi: 10.48550/arxiv.1601.04123 · pith_short_12: EQ6464QR7V26 · pith_short_16: EQ6464QR7V26OGER · pith_short_8: EQ6464QR

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/EQ6464QR7V26OGER2E27YY6YPZ \
  | 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: 243dcf7211fd75e71891d135fc63d87e40570558439cd3702a5bc1dbc68df9b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fedc8cbfa1417987fd37d3c1cb089ab30d0ebb20f4d724f038c7f12fe94b99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-01-16T04:51:11Z",
    "title_canon_sha256": "a702214f6da8cb3837ad7528ae427626e9173d141f91f35e54d89504bae345c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04123",
    "kind": "arxiv",
    "version": 4
  }
}