Pith Number

pith:VEPJPOQV

pith:2008:VEPJPOQVHP7ABVK27HKRHYYY32

not attested not anchored not stored refs pending

Cohomogeneity one disk bundles with normal homogeneous collars

Kristopher Tapp, Lorenz J. Schwachhoefer

arxiv:0806.3824 v1 · 2008-06-24 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VEPJPOQVHP7ABVK27HKRHYYY32}

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	2026-05-18T02:58:11.406799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91e97ba153bfe00d55af9d513e318de9b61a4a65eac974997be4cfac3ee6897

Aliases

arxiv: 0806.3824 · arxiv_version: 0806.3824v1 · doi: 10.48550/arxiv.0806.3824 · pith_short_12: VEPJPOQVHP7A · pith_short_16: VEPJPOQVHP7ABVK2 · pith_short_8: VEPJPOQV

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/VEPJPOQVHP7ABVK27HKRHYYY32 \
  | 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: a91e97ba153bfe00d55af9d513e318de9b61a4a65eac974997be4cfac3ee6897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356cfbdae80b6b13235596de68bc84e7a5365349e571dbf033c949143e11607c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-06-24T06:33:58Z",
    "title_canon_sha256": "13248ea42b3ea1afb19aea6975586303121c572810eea79656ce103c60db7f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.3824",
    "kind": "arxiv",
    "version": 1
  }
}