Pith Number

pith:I7IKX73K

pith:2012:I7IKX73K3OSKRRMSM3SNABOQM2

not attested not anchored not stored refs pending

Structure in the bipolar filtration of topologically slice knots

Peter D. Horn, Tim D. Cochran

arxiv:1208.5788 v1 · 2012-08-28 · 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{I7IKX73K3OSKRRMSM3SNABOQM2}

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	2026-05-18T01:22:26.324510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47d0abff6adba4a8c59266e4d005d0669c3598ddc3bbc74e0ca9b8831ec98de0

Aliases

arxiv: 1208.5788 · arxiv_version: 1208.5788v1 · doi: 10.48550/arxiv.1208.5788 · pith_short_12: I7IKX73K3OSK · pith_short_16: I7IKX73K3OSKRRMS · pith_short_8: I7IKX73K

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/I7IKX73K3OSKRRMSM3SNABOQM2 \
  | 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: 47d0abff6adba4a8c59266e4d005d0669c3598ddc3bbc74e0ca9b8831ec98de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f5a806ecdb540a5aedb5c0af92bd1c3fb3666c69275c0890566288588d1d002",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-28T20:43:37Z",
    "title_canon_sha256": "0f0773f2458fca92cdec10ca122e9f970785abaa3357c41cc510d35d29ad1aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5788",
    "kind": "arxiv",
    "version": 1
  }
}