Pith Number

pith:7UHS7UXR

pith:2012:7UHS7UXRC5YJ5O3S52VHSWQOKG

not attested not anchored not stored refs pending

The (n)-solvable filtration of the link concordance group and Milnor's invariants

Carolyn Otto

arxiv:1211.1423 v1 · 2012-11-07 · 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{7UHS7UXRC5YJ5O3S52VHSWQOKG}

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	2026-05-18T01:22:26.024274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd0f2fd2f117709ebb72eeaa795a0e5198eecf96f5d7f5442655f1e897ab7d6c

Aliases

arxiv: 1211.1423 · arxiv_version: 1211.1423v1 · doi: 10.48550/arxiv.1211.1423 · pith_short_12: 7UHS7UXRC5YJ · pith_short_16: 7UHS7UXRC5YJ5O3S · pith_short_8: 7UHS7UXR

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/7UHS7UXRC5YJ5O3S52VHSWQOKG \
  | 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: fd0f2fd2f117709ebb72eeaa795a0e5198eecf96f5d7f5442655f1e897ab7d6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd697a8d7bde9bdcb9505e1ce99cf3051cf8c2df3b60f515375b426bad7ef88a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-07T00:01:16Z",
    "title_canon_sha256": "5ab8544a683f1c73daa3c65cb57f1367fa75a789ed17fda2ef87fabbcc9840fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1423",
    "kind": "arxiv",
    "version": 1
  }
}