Pith Number

pith:EFZ6HGDP

pith:2010:EFZ6HGDPE2XTWXKYNLJPHRPAMG

not attested not anchored not stored refs pending

Associative Submanifolds of the 7-Sphere

Jason D. Lotay

arxiv:1006.0361 v2 · 2010-06-02 · 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{EFZ6HGDPE2XTWXKYNLJPHRPAMG}

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	2026-05-18T03:37:29.144468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2173e3986f26af3b5d586ad2f3c5e061a66282675d43d04182d8d19df31aa704

Aliases

arxiv: 1006.0361 · arxiv_version: 1006.0361v2 · doi: 10.48550/arxiv.1006.0361 · pith_short_12: EFZ6HGDPE2XT · pith_short_16: EFZ6HGDPE2XTWXKY · pith_short_8: EFZ6HGDP

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/EFZ6HGDPE2XTWXKYNLJPHRPAMG \
  | 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: 2173e3986f26af3b5d586ad2f3c5e061a66282675d43d04182d8d19df31aa704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f656da623efe71f5f6590d0a4079872654eb01afce5b1e896345b2acecc69e37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-06-02T12:53:40Z",
    "title_canon_sha256": "5bd5974d49d8b631f24ed04ac304af5d0358c0e6c3176fe6594dc1600287ebd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0361",
    "kind": "arxiv",
    "version": 2
  }
}