Pith Number

pith:YPZVJNH6

pith:2012:YPZVJNH6J2Q7MQ2VZKKBIASCBA

not attested not anchored not stored refs pending

The Equivalence Problem of Curves in a Riemannian Manifold

J. Munoz Masque, M. Castrillon Lopez, V. Fernandez Mateos

arxiv:1207.4720 v1 · 2012-07-19 · 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{YPZVJNH6J2Q7MQ2VZKKBIASCBA}

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	2026-05-18T03:50:35.971946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3f354b4fe4ea1f64355ca9414024208123eefc82effcaae7980cc40e7c0ebe2

Aliases

arxiv: 1207.4720 · arxiv_version: 1207.4720v1 · doi: 10.48550/arxiv.1207.4720 · pith_short_12: YPZVJNH6J2Q7 · pith_short_16: YPZVJNH6J2Q7MQ2V · pith_short_8: YPZVJNH6

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/YPZVJNH6J2Q7MQ2VZKKBIASCBA \
  | 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: c3f354b4fe4ea1f64355ca9414024208123eefc82effcaae7980cc40e7c0ebe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d166f6d9bbb70c92602d80376e85a7b31041133c67cebebd77d895c18bcc7877",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-19T16:13:46Z",
    "title_canon_sha256": "5469cdc3e9c428bac9345df66701c37081831cc15f52f7ac8738e537b20b2479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4720",
    "kind": "arxiv",
    "version": 1
  }
}