Pith Number

pith:YYDOAWC5

pith:2005:YYDOAWC5EGCSXUDIJY7EYNGOFN

not attested not anchored not stored refs pending

Finiteness of 3-manifolds associated with non-zero degree mappings

J. Hyam Rubinstein, Michel Boileau, Shicheng Wang

arxiv:math/0511541 v2 · 2005-11-22 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYDOAWC5EGCSXUDIJY7EYNGOFN}

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	2026-05-18T04:20:59.599474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c606e0585d21852bd0684e3e4c34ce2b474af07c3304f4f1b636cbf1729ac61d

Aliases

arxiv: math/0511541 · arxiv_version: math/0511541v2 · doi: 10.48550/arxiv.math/0511541 · pith_short_12: YYDOAWC5EGCS · pith_short_16: YYDOAWC5EGCSXUDI · pith_short_8: YYDOAWC5

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/YYDOAWC5EGCSXUDIJY7EYNGOFN \
  | 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: c606e0585d21852bd0684e3e4c34ce2b474af07c3304f4f1b636cbf1729ac61d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6321145782f3b3427e8a541884c0daf3c97c6c2747540c204d8de5d4fecf7ae1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-11-22T04:06:41Z",
    "title_canon_sha256": "0f8cbe331a2d8c1ec07f8abd41288cc61bced01da47a9e45f59d7e45551d0509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511541",
    "kind": "arxiv",
    "version": 2
  }
}