Pith Number

pith:M2DYET26

pith:2006:M2DYET26DZPV57PY5EBIENPYHQ

not attested not anchored not stored refs pending

The G_2 sphere over a 4-manifold

I. M. C. Salavessa, R. Albuquerque

arxiv:math/0608282 v1 · 2006-08-11 · 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{M2DYET26DZPV57PY5EBIENPYHQ}

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	2026-05-18T04:06:19.400208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6687824f5e1e5f5efdf8e9028235f83c34cb5f1b8c0c5ae0b04cafe9a4228d10

Aliases

arxiv: math/0608282 · arxiv_version: math/0608282v1 · doi: 10.48550/arxiv.math/0608282 · pith_short_12: M2DYET26DZPV · pith_short_16: M2DYET26DZPV57PY · pith_short_8: M2DYET26

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/M2DYET26DZPV57PY5EBIENPYHQ \
  | 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: 6687824f5e1e5f5efdf8e9028235f83c34cb5f1b8c0c5ae0b04cafe9a4228d10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b57d71d1d723cbf88b0aac646546dfcd865bfbd14429600e8547ea52c52567e3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-08-11T11:14:44Z",
    "title_canon_sha256": "eb7c46091d14310e5f2ba9e052201831efc93a7a84192d8a2a0a51a215ef057b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608282",
    "kind": "arxiv",
    "version": 1
  }
}