Pith Number

pith:KHLKXTFV

pith:2001:KHLKXTFVHEMMTYCS7OWXLQPV4K

not attested not anchored not stored refs pending

Approximating L^2-signatures by their compact analogues

Thomas Schick, Wolfgang Lueck

arxiv:math/0110328 v1 · 2001-10-31 · 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{KHLKXTFVHEMMTYCS7OWXLQPV4K}

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	2026-05-17T23:59:45.039377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d6abccb53918c9e052fbad75c1f5e2b00a031500765fb6d26f778ede1bec84

Aliases

arxiv: math/0110328 · arxiv_version: math/0110328v1 · doi: 10.48550/arxiv.math/0110328 · pith_short_12: KHLKXTFVHEMM · pith_short_16: KHLKXTFVHEMMTYCS · pith_short_8: KHLKXTFV

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/KHLKXTFVHEMMTYCS7OWXLQPV4K \
  | 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: 51d6abccb53918c9e052fbad75c1f5e2b00a031500765fb6d26f778ede1bec84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c8f9d07ea14ca6049706562d5083858d06ad08cac7ad78ca5308acf2da95d29",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-10-31T14:55:54Z",
    "title_canon_sha256": "37b05380112d1338cb272502669b6ec8f8183f2fda3d02c646d1703399926972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110328",
    "kind": "arxiv",
    "version": 1
  }
}