Pith Number

pith:3I6QPO67

pith:2009:3I6QPO673K7HX45ILXSX4UVZRM

not attested not anchored not stored refs pending

A combinatorial proof of the Degree Theorem in Auter space

Matthew C. B. Zaremsky, Robert McEwen

arxiv:0907.4642 v4 · 2009-07-27 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I6QPO673K7HX45ILXSX4UVZRM}

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	2026-05-18T02:57:07.118398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3d07bbdfdabe7bf3a85de57e52b98b193b2e2ca15a005b82e5b403c91288cb

Aliases

arxiv: 0907.4642 · arxiv_version: 0907.4642v4 · doi: 10.48550/arxiv.0907.4642 · pith_short_12: 3I6QPO673K7H · pith_short_16: 3I6QPO673K7HX45I · pith_short_8: 3I6QPO67

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/3I6QPO673K7HX45ILXSX4UVZRM \
  | 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: da3d07bbdfdabe7bf3a85de57e52b98b193b2e2ca15a005b82e5b403c91288cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99e01f7861059d6707de2d1b40b5a46fedc861edbeab9ee0ebb931cda92cbf1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-07-27T14:34:01Z",
    "title_canon_sha256": "90f706a099ece2c5d448c4fb80943ef4bfd05304e6df3dceff11454728f2b5bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4642",
    "kind": "arxiv",
    "version": 4
  }
}