Pith Number

pith:IXDZWAE5

pith:2008:IXDZWAE5QLZUPXDFGU5OFVXWVY

not attested not anchored not stored refs pending

Reversibility in the diffeomorphism group of the real line

Anthony G. O'Farrell, Ian Short

arxiv:0811.3597 v1 · 2008-11-21 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXDZWAE5QLZUPXDFGU5OFVXWVY}

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	2026-05-18T02:59:45.744154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c79b009d82f347dc65353ae2d6f6ae39135131e1bfbc2e79efdbb9478b6067

Aliases

arxiv: 0811.3597 · arxiv_version: 0811.3597v1 · doi: 10.48550/arxiv.0811.3597 · pith_short_12: IXDZWAE5QLZU · pith_short_16: IXDZWAE5QLZUPXDF · pith_short_8: IXDZWAE5

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/IXDZWAE5QLZUPXDFGU5OFVXWVY \
  | 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: 45c79b009d82f347dc65353ae2d6f6ae39135131e1bfbc2e79efdbb9478b6067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69770d31674e3639f36f144047b7a2afa6154c471e99c84c44d2534d65671a9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-11-21T18:02:34Z",
    "title_canon_sha256": "45dfd2378ece312866ab0a4d56c1eb85f2c6446990647a941160e0a67369d73e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3597",
    "kind": "arxiv",
    "version": 1
  }
}