Pith Number

pith:TKZBWPDW

pith:2014:TKZBWPDW2DTQ6H3FWZEHOSJUAW

not attested not anchored not stored refs pending

Morse Theory for geodesics in singular conformal metrics

F. Giannoni, P. Piccione, R. Giamb\`o

arxiv:1406.0644 v1 · 2014-06-03 · math.DS · math-ph · math.DG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKZBWPDW2DTQ6H3FWZEHOSJUAW}

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	2026-05-18T02:20:59.376438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab21b3c76d0e70f1f65b648774934059cc3af81eccd74bb1d37df24347bdeb4

Aliases

arxiv: 1406.0644 · arxiv_version: 1406.0644v1 · doi: 10.48550/arxiv.1406.0644 · pith_short_12: TKZBWPDW2DTQ · pith_short_16: TKZBWPDW2DTQ6H3F · pith_short_8: TKZBWPDW

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/TKZBWPDW2DTQ6H3FWZEHOSJUAW \
  | 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: 9ab21b3c76d0e70f1f65b648774934059cc3af81eccd74bb1d37df24347bdeb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6916433e8b9c6167c5fca8c3755ce23c6f70ec89233658cf6ef58f16e13bc2",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-06-03T09:44:07Z",
    "title_canon_sha256": "266f442f64e994f7c538e5937d25b6ecdbc0bc5cb546540381c2a9e5859f4799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0644",
    "kind": "arxiv",
    "version": 1
  }
}