Pith Number

pith:PAJY2TLT

pith:2010:PAJY2TLTD73Q4FXM5PYG42ELRS

not attested not anchored not stored refs pending

Multisummability of unfoldings of tangent to the identity diffeomorphisms

Javier Rib\'on

arxiv:1009.3518 v1 · 2010-09-17 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAJY2TLTD73Q4FXM5PYG42ELRS}

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	2026-05-18T04:40:44.717161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78138d4d731ff70e16ecebf06e688b8c9ce9918e1d12265b7798fc1479ff5d25

Aliases

arxiv: 1009.3518 · arxiv_version: 1009.3518v1 · doi: 10.48550/arxiv.1009.3518 · pith_short_12: PAJY2TLTD73Q · pith_short_16: PAJY2TLTD73Q4FXM · pith_short_8: PAJY2TLT

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/PAJY2TLTD73Q4FXM5PYG42ELRS \
  | 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: 78138d4d731ff70e16ecebf06e688b8c9ce9918e1d12265b7798fc1479ff5d25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc851c239c5a43a485119473a5f01d5dea4132de05dc143ccee69b63a7f82ea6",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-17T22:46:43Z",
    "title_canon_sha256": "a1e582564e73969d84003ae73891801fe8e9d9fd72d300e2e37c14664ba4f649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3518",
    "kind": "arxiv",
    "version": 1
  }
}