Pith Number

pith:CVUBNOMP

pith:2012:CVUBNOMPHXABX5PH5FS2ISKRDP

not attested not anchored not stored refs pending

Covering link calculus and the bipolar filtration of topologically slice links

Jae Choon Cha, Mark Powell

arxiv:1212.5011 v3 · 2012-12-20 · 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{CVUBNOMPHXABX5PH5FS2ISKRDP}

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	2026-05-18T02:38:17.450075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

156816b98f3dc01bf5e7e965a449511bd76d66da5871b660088c692018089fe4

Aliases

arxiv: 1212.5011 · arxiv_version: 1212.5011v3 · doi: 10.48550/arxiv.1212.5011 · pith_short_12: CVUBNOMPHXAB · pith_short_16: CVUBNOMPHXABX5PH · pith_short_8: CVUBNOMP

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/CVUBNOMPHXABX5PH5FS2ISKRDP \
  | 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: 156816b98f3dc01bf5e7e965a449511bd76d66da5871b660088c692018089fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fef5f892988f108a9fc3b4f5084821328183556298824c15d4c36daf1aa31d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-20T12:46:09Z",
    "title_canon_sha256": "59a48badfdcf2f461933032d32ec719fed62f70763a56301b46bceb414d8bdcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5011",
    "kind": "arxiv",
    "version": 3
  }
}