Pith Number

pith:LXOCK5GD

pith:2000:LXOCK5GDCUWUZEPTKYR6JNWJWI

not attested not anchored not stored refs pending

A Theorem of Sanderson on Link Bordisms in Dimension 4

J. Scott Carter, Masahico Saito, Seiichi Kamada, Shin Satoh

arxiv:math/0008099 v2 · 2000-08-14 · 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{LXOCK5GDCUWUZEPTKYR6JNWJWI}

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	2026-05-18T02:41:33.414214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ddc2574c3152d4c91f35623e4b6c9b201a8130bbf1c3b3c8b69ccf73774921b

Aliases

arxiv: math/0008099 · arxiv_version: math/0008099v2 · doi: 10.48550/arxiv.math/0008099 · pith_short_12: LXOCK5GDCUWU · pith_short_16: LXOCK5GDCUWUZEPT · pith_short_8: LXOCK5GD

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/LXOCK5GDCUWUZEPTKYR6JNWJWI \
  | 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: 5ddc2574c3152d4c91f35623e4b6c9b201a8130bbf1c3b3c8b69ccf73774921b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "826b138404a48a088a5c740717401a8a3f78e7d09a4a476d2597a82248c3aa60",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-08-14T13:53:55Z",
    "title_canon_sha256": "3dfd3d065544a44c19fac9844fe0bc107b8e2ed0968dc4bfdd62cde84a8c039e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008099",
    "kind": "arxiv",
    "version": 2
  }
}