Pith Number

pith:TWLY2YDF

pith:2010:TWLY2YDF3NVFDTPWLYL7CKT23R

not attested not anchored not stored refs pending

Decomposing diffeomorphisms of the sphere

Alastair Fletcher, Vladimir Markovic

arxiv:1009.3905 v1 · 2010-09-20 · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWLY2YDF3NVFDTPWLYL7CKT23R}

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	2026-05-18T02:58:01.767113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d978d6065db6a51cdf65e17f12a7adc7c74d97acf09b53da2757572f75c3b6c

Aliases

arxiv: 1009.3905 · arxiv_version: 1009.3905v1 · doi: 10.48550/arxiv.1009.3905 · pith_short_12: TWLY2YDF3NVF · pith_short_16: TWLY2YDF3NVFDTPW · pith_short_8: TWLY2YDF

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/TWLY2YDF3NVFDTPWLYL7CKT23R \
  | 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: 9d978d6065db6a51cdf65e17f12a7adc7c74d97acf09b53da2757572f75c3b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e7b8c9403fb3db8415866456e5935a68dba7e92a764cd7b7549b4a4e377fd3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-09-20T18:05:16Z",
    "title_canon_sha256": "d43bc9982b4b15b6b85d9491882c4553c0120f7813bef1da5656d88b68b700ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3905",
    "kind": "arxiv",
    "version": 1
  }
}