Pith Number

pith:FUKQFLCM

pith:2013:FUKQFLCMCYRVNARVOSOZTBSLAY

not attested not anchored not stored refs pending

On the frame bundle adapted to a submanifold

Kamil Niedzialomski

arxiv:1311.6172 v2 · 2013-11-24 · 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{FUKQFLCMCYRVNARVOSOZTBSLAY}

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	2026-05-18T03:03:31.614799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d1502ac4c1623568235749d99864b060bc7ac4373ce0d899167150001761442

Aliases

arxiv: 1311.6172 · arxiv_version: 1311.6172v2 · doi: 10.48550/arxiv.1311.6172 · pith_short_12: FUKQFLCMCYRV · pith_short_16: FUKQFLCMCYRVNARV · pith_short_8: FUKQFLCM

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/FUKQFLCMCYRVNARVOSOZTBSLAY \
  | 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: 2d1502ac4c1623568235749d99864b060bc7ac4373ce0d899167150001761442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13edbcb2e134f61136f1d3e27af67cd819e8b4ddafd647bd118799bbd793ee36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-24T21:18:55Z",
    "title_canon_sha256": "b0af226f8e27065fe01503203e1dd3e8779c9d521338f60a485c07d3dd3e04ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6172",
    "kind": "arxiv",
    "version": 2
  }
}