Pith Number

pith:56RGGHCX

pith:2011:56RGGHCXOU6M4OCM3CHRIBC77Q

not attested not anchored not stored refs pending

On the regularity of the composition of diffeomorphisms

Hasan Inci, Peter Topalov, Thomas Kappeler

arxiv:1107.0488 v2 · 2011-07-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56RGGHCXOU6M4OCM3CHRIBC77Q}

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	2026-05-18T04:03:06.878330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa2631c57753cce384cd88f14045ffc0ca8b912b46a920c269f417f4d02e4d0

Aliases

arxiv: 1107.0488 · arxiv_version: 1107.0488v2 · doi: 10.48550/arxiv.1107.0488 · pith_short_12: 56RGGHCXOU6M · pith_short_16: 56RGGHCXOU6M4OCM · pith_short_8: 56RGGHCX

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/56RGGHCXOU6M4OCM3CHRIBC77Q \
  | 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: efa2631c57753cce384cd88f14045ffc0ca8b912b46a920c269f417f4d02e4d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0fee31480003fa1a7ac49195add5f74b0ee194d52821a64181c8986e573f070",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-03T19:13:41Z",
    "title_canon_sha256": "e37b98d182089cd36c48552bbc7d1491177248b4ad1d0a7bb3fe26a8c53916d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0488",
    "kind": "arxiv",
    "version": 2
  }
}