Pith Number

pith:45NZDO64

pith:2013:45NZDO643FANV4T553AAKYVC7B

not attested not anchored not stored refs pending

Homotopy-theoretic E-theory and n-order

Rasmus Bentmann

arxiv:1302.6924 v2 · 2013-02-27 · math.OA · math.AT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45NZDO643FANV4T553AAKYVC7B}

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	2026-05-18T02:56:21.330332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e75b91bbdcd940daf27deec00562a2f841cc6dbfb359ca3b54080ddd029ec81a

Aliases

arxiv: 1302.6924 · arxiv_version: 1302.6924v2 · doi: 10.48550/arxiv.1302.6924 · pith_short_12: 45NZDO643FAN · pith_short_16: 45NZDO643FANV4T5 · pith_short_8: 45NZDO64

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/45NZDO643FANV4T553AAKYVC7B \
  | 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: e75b91bbdcd940daf27deec00562a2f841cc6dbfb359ca3b54080ddd029ec81a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e5d9431ea867d6188b1ee9f7fa1446cbcc4f1e82e64e923411fbc535d6e9924",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-02-27T17:00:07Z",
    "title_canon_sha256": "3286b6d107f3a0387633a791df549f858e19b42059095c0d6a71e7c6f165bef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6924",
    "kind": "arxiv",
    "version": 2
  }
}