Pith Number

pith:CWTTB6QM

pith:2012:CWTTB6QMOZWA6WZDXHDRMWCZ4L

not attested not anchored not stored refs pending

K-Witt bordism in characteristic 2

Greg Friedman

arxiv:1208.3683 v1 · 2012-08-17 · math.GT · 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{CWTTB6QMOZWA6WZDXHDRMWCZ4L}

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	2026-05-18T03:07:32.021050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15a730fa0c766c0f5b23b9c7165859e2daa9b09bbfbabdd6814f505a91567271

Aliases

arxiv: 1208.3683 · arxiv_version: 1208.3683v1 · doi: 10.48550/arxiv.1208.3683 · pith_short_12: CWTTB6QMOZWA · pith_short_16: CWTTB6QMOZWA6WZD · pith_short_8: CWTTB6QM

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/CWTTB6QMOZWA6WZDXHDRMWCZ4L \
  | 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: 15a730fa0c766c0f5b23b9c7165859e2daa9b09bbfbabdd6814f505a91567271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fba34a2538041a8515935d892f1872db52195e6f1952098fe852d9b7589cfe9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-17T20:19:31Z",
    "title_canon_sha256": "8052d614c9dd798bb1e4090dab7e4a89fcb25c0e4a6ea9d413c9177efaf8baa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3683",
    "kind": "arxiv",
    "version": 1
  }
}