Pith Number

pith:DCB7XJI6

pith:2006:DCB7XJI6V77ITVSYBRO43PJGPD

not attested not anchored not stored refs pending

The homotopy type of the cobordism category

Ib Madsen, Michael Weiss, Soren Galatius, Ulrike Tillmann

arxiv:math/0605249 v3 · 2006-05-10 · 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{DCB7XJI6V77ITVSYBRO43PJGPD}

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	2026-05-18T04:40:33.029447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1883fba51eaffe89d6580c5dcdbd2678f290adc0f96fba0356b7d82213d926af

Aliases

arxiv: math/0605249 · arxiv_version: math/0605249v3 · doi: 10.48550/arxiv.math/0605249 · pith_short_12: DCB7XJI6V77I · pith_short_16: DCB7XJI6V77ITVSY · pith_short_8: DCB7XJI6

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/DCB7XJI6V77ITVSYBRO43PJGPD \
  | 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: 1883fba51eaffe89d6580c5dcdbd2678f290adc0f96fba0356b7d82213d926af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd019088d55f617e4b69cc6a2be0b23f24a87fa31aa074f191dd68f03df4d264",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2006-05-10T07:15:45Z",
    "title_canon_sha256": "77350ef28d76ba8854a3d2e9c6400b7ef472133335f9820051a13092cb8f819d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605249",
    "kind": "arxiv",
    "version": 3
  }
}