Pith Number

pith:RTMAZ2OJ

pith:2012:RTMAZ2OJI4DI75DVSLRHX6NAPT

not attested not anchored not stored refs pending

The exponential map at a cuspidal singularity

Daniel Grieser, Vincent Grandjean

arxiv:1205.4554 v2 · 2012-05-21 · math.DG · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTMAZ2OJI4DI75DVSLRHX6NAPT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

1 paper in Pith

Analysis on fibred cusp spaces

Receipt and verification

First computed	2026-05-18T02:26:59.169107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cd80ce9c947068ff47592e27bf9a07cc0a846edb7bc09ae1fb988908d637bc3

Aliases

arxiv: 1205.4554 · arxiv_version: 1205.4554v2 · doi: 10.48550/arxiv.1205.4554 · pith_short_12: RTMAZ2OJI4DI · pith_short_16: RTMAZ2OJI4DI75DV · pith_short_8: RTMAZ2OJ

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/RTMAZ2OJI4DI75DVSLRHX6NAPT \
  | 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: 8cd80ce9c947068ff47592e27bf9a07cc0a846edb7bc09ae1fb988908d637bc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "274d9eb3c1e1c150b1a4405eab109534b11ba18e704a13ec9aabe3244f85d37d",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-21T10:30:17Z",
    "title_canon_sha256": "61971dae12b5c98ebfaa990300f18891972d0befb49bf6d3e951f8b061130db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4554",
    "kind": "arxiv",
    "version": 2
  }
}