Pith Number

pith:TYURRE5Q

pith:2003:TYURRE5QSGCV5J442L2DA7XF4Q

not attested not anchored not stored refs pending

Foliated norms on fundamental group and homology

Thilo Kuessner

arxiv:math/0303234 v3 · 2003-03-19 · math.AT · math.DS · 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{TYURRE5QSGCV5J442L2DA7XF4Q}

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	2026-05-18T01:25:09.416643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e291893b091855ea79cd2f4307ee5e42e38f33c3b15ea9fc930c3503c03d52c

Aliases

arxiv: math/0303234 · arxiv_version: math/0303234v3 · doi: 10.48550/arxiv.math/0303234 · pith_short_12: TYURRE5QSGCV · pith_short_16: TYURRE5QSGCV5J44 · pith_short_8: TYURRE5Q

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/TYURRE5QSGCV5J442L2DA7XF4Q \
  | 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: 9e291893b091855ea79cd2f4307ee5e42e38f33c3b15ea9fc930c3503c03d52c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c5ec285072dc6a36a3cb997be596cc0fcf7e902787d6215b2769e5b4165f11",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2003-03-19T12:43:58Z",
    "title_canon_sha256": "1ba7962ee3f6f5cf6833ebc1b87c52abc37312920831316ca68727e6474879a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303234",
    "kind": "arxiv",
    "version": 3
  }
}