Pith Number

pith:67NVTC7W

pith:2004:67NVTC7WL5DTCJDOLHWOIBDCQC

not attested not anchored not stored refs pending

Dualizing the coarse assembly map

Heath Emerson, Ralf Meyer

arxiv:math/0401227 v2 · 2004-01-19 · math.OA · 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{67NVTC7WL5DTCJDOLHWOIBDCQC}

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	2026-05-18T01:29:30.180477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7db598bf65f4731246e59ece40462809efcc05d9a77efd78c9be0b0f520c93f

Aliases

arxiv: math/0401227 · arxiv_version: math/0401227v2 · doi: 10.48550/arxiv.math/0401227 · pith_short_12: 67NVTC7WL5DT · pith_short_16: 67NVTC7WL5DTCJDO · pith_short_8: 67NVTC7W

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/67NVTC7WL5DTCJDOLHWOIBDCQC \
  | 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: f7db598bf65f4731246e59ece40462809efcc05d9a77efd78c9be0b0f520c93f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f92272a9caf4d1d4bdba563beff207c67d6095fb4d2e92d96860c72d499870e",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-01-19T14:03:12Z",
    "title_canon_sha256": "525f250a37fff3b9f569ff224be885b970b7d2113a8cc7a817c5b0404bd712d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401227",
    "kind": "arxiv",
    "version": 2
  }
}