Pith Number

pith:3QWX5FSD

pith:2009:3QWX5FSD65XTIBSIR2E54D3UQI

not attested not anchored not stored refs pending

Embedded Cobordism Categories and Spaces of Manifolds

Oscar Randal-Williams

arxiv:0912.2505 v1 · 2009-12-13 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QWX5FSD65XTIBSIR2E54D3UQI}

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	2026-05-18T04:12:34.076545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc2d7e9643f76f3406488e89de0f74823c30acb2f338ae578c231bef17d50689

Aliases

arxiv: 0912.2505 · arxiv_version: 0912.2505v1 · doi: 10.48550/arxiv.0912.2505 · pith_short_12: 3QWX5FSD65XT · pith_short_16: 3QWX5FSD65XTIBSI · pith_short_8: 3QWX5FSD

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/3QWX5FSD65XTIBSIR2E54D3UQI \
  | 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: dc2d7e9643f76f3406488e89de0f74823c30acb2f338ae578c231bef17d50689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc0c049e3755c45ebff6e1be2a4e642cfaf4399bd63e5d77ce962a11a9e48cd3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-12-13T13:39:22Z",
    "title_canon_sha256": "53bbac4382b4385392b7e401b00f0222036796ee74fac472b48034fabaab0623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2505",
    "kind": "arxiv",
    "version": 1
  }
}