Pith Number

pith:FY2K4X3D

pith:2015:FY2K4X3DAUXO6ZHD4GJCMTNAOO

not attested not anchored not stored refs pending

Expressing an observer in preferred coordinates by transforming an injective immersion into a surjective diffeomorphism

Laurent Praly (CAS), Pauline Bernard (CAS), Vincent Andrieu (LAGEP)

arxiv:1509.04865 v4 · 2015-09-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FY2K4X3DAUXO6ZHD4GJCMTNAOO}

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	2026-05-18T00:23:02.079360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e34ae5f63052eef64e3e192264da073b382727bc61b68b86588feaf663daace

Aliases

arxiv: 1509.04865 · arxiv_version: 1509.04865v4 · doi: 10.48550/arxiv.1509.04865 · pith_short_12: FY2K4X3DAUXO · pith_short_16: FY2K4X3DAUXO6ZHD · pith_short_8: FY2K4X3D

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/FY2K4X3DAUXO6ZHD4GJCMTNAOO \
  | 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: 2e34ae5f63052eef64e3e192264da073b382727bc61b68b86588feaf663daace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db6b5319808e0898d16e0c63b5ca3af43f6474a989e2fc9da36eea8b574c6a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-16T09:53:17Z",
    "title_canon_sha256": "ef953ff6d59d8ffe1132f5372da1ee9d615be27792af2a1d24094966c477e8fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04865",
    "kind": "arxiv",
    "version": 4
  }
}