Pith Number

pith:OUFNFHWM

pith:2007:OUFNFHWMIUHTIHPZRFG3LOCRMW

not attested not anchored not stored refs pending

Cohomogeneity one manifolds and selfmaps of nontrivial degree

Thomas Puettmann

arxiv:0710.3770 v3 · 2007-10-19 · math.DG · 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{OUFNFHWMIUHTIHPZRFG3LOCRMW}

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	2026-05-18T04:30:58.529035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

750ad29ecc450f341df9894db5b851658685c1ae685d8dcd5d2aac1f28aebde6

Aliases

arxiv: 0710.3770 · arxiv_version: 0710.3770v3 · doi: 10.48550/arxiv.0710.3770 · pith_short_12: OUFNFHWMIUHT · pith_short_16: OUFNFHWMIUHTIHPZ · pith_short_8: OUFNFHWM

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/OUFNFHWMIUHTIHPZRFG3LOCRMW \
  | 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: 750ad29ecc450f341df9894db5b851658685c1ae685d8dcd5d2aac1f28aebde6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2e555a709a44f003113a78a50ae8df450db10bb9eb8e0d8ed1fc5aadf78cd2c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-10-19T19:59:54Z",
    "title_canon_sha256": "917721134121dfcf74dba2c0533003b6a50d50cd6883069d4736ab9000a5d0f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3770",
    "kind": "arxiv",
    "version": 3
  }
}