Pith Number

pith:QAVF6VVY

pith:2010:QAVF6VVYDRBZEQBGED4WPWAURE

not attested not anchored not stored refs pending

Geodesics in Conical Manifolds

Marco G. Ghimenti

arxiv:1012.5518 v1 · 2010-12-26 · math.AP · 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{QAVF6VVYDRBZEQBGED4WPWAURE}

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	2026-05-18T04:32:23.201043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

802a5f56b81c4392402620f967d814890712b1850c53261126244434d64e2472

Aliases

arxiv: 1012.5518 · arxiv_version: 1012.5518v1 · doi: 10.48550/arxiv.1012.5518 · pith_short_12: QAVF6VVYDRBZ · pith_short_16: QAVF6VVYDRBZEQBG · pith_short_8: QAVF6VVY

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/QAVF6VVYDRBZEQBGED4WPWAURE \
  | 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: 802a5f56b81c4392402620f967d814890712b1850c53261126244434d64e2472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e63bfea30ba68dcb48104edfbf84de2f0e2d3b00ee32a2de4dc51f768b2184c2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-26T15:02:23Z",
    "title_canon_sha256": "0c32397c1614f8a9db227d12ad0eb44e686a1dc06b63841bc99c57b04aa7c06c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5518",
    "kind": "arxiv",
    "version": 1
  }
}