Pith Number

pith:4VOVDLU5

pith:2001:4VOVDLU5C6FYR5HTPIUHET7GFH

not attested not anchored not stored refs pending

Piecewise linear structures on topological manifolds

Yuli B. Rudyak

arxiv:math/0105047 v2 · 2001-05-07 · math.AT · 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{4VOVDLU5C6FYR5HTPIUHET7GFH}

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	2026-05-18T01:03:12.317996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55d51ae9d178b88f4f37a28724fe629eab3d4bd5ac3f4f925412d234b12ecf8

Aliases

arxiv: math/0105047 · arxiv_version: math/0105047v2 · doi: 10.48550/arxiv.math/0105047 · pith_short_12: 4VOVDLU5C6FY · pith_short_16: 4VOVDLU5C6FYR5HT · pith_short_8: 4VOVDLU5

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/4VOVDLU5C6FYR5HTPIUHET7GFH \
  | 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: e55d51ae9d178b88f4f37a28724fe629eab3d4bd5ac3f4f925412d234b12ecf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf5f0534af1aafc0385172e84888d924b2e28cdc9b7eeaf10ee796b23d72555",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2001-05-07T11:44:47Z",
    "title_canon_sha256": "8cb4b2897787822c4638fd38d5e7e305b3fa6ed207ed594e80250f62df8e2973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105047",
    "kind": "arxiv",
    "version": 2
  }
}