Pith Number

pith:2BUPMKJF

pith:2014:2BUPMKJFUVXJFSIW4OUB7ZJW6I

not attested not anchored not stored refs pending

Criteria for Morin singularities into higher dimensions

Kentaro Saji

arxiv:1412.4103 v1 · 2014-12-12 · math.GT · 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{2BUPMKJFUVXJFSIW4OUB7ZJW6I}

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	2026-05-18T02:31:27.922278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d068f62925a56e92c916e3a81fe536f23f12f4a384122f3823cd3d7d1fa0f597

Aliases

arxiv: 1412.4103 · arxiv_version: 1412.4103v1 · doi: 10.48550/arxiv.1412.4103 · pith_short_12: 2BUPMKJFUVXJ · pith_short_16: 2BUPMKJFUVXJFSIW · pith_short_8: 2BUPMKJF

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/2BUPMKJFUVXJFSIW4OUB7ZJW6I \
  | 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: d068f62925a56e92c916e3a81fe536f23f12f4a384122f3823cd3d7d1fa0f597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f3ee6fb0a54feb0e85e6f978c2f8758884f1e95d90d4a04eff12cf22c7b467e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-12T20:20:55Z",
    "title_canon_sha256": "d8adb60a7cda9f9080c020ca4a42a1e0e326b0b24cc55456bdaa8397eaf5e28b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4103",
    "kind": "arxiv",
    "version": 1
  }
}