Pith Number

pith:FWKKWTAX

pith:2010:FWKKWTAXZQHOP7PLQWG4IQHZ5Z

not attested not anchored not stored refs pending

On the range of composition operators on spaces of entire functions

F. Jafari, J. E. McInroy, S. Mukherjee

arxiv:1006.2793 v3 · 2010-06-07 · 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{FWKKWTAXZQHOP7PLQWG4IQHZ5Z}

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	2026-05-18T03:43:42.749804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d94ab4c17cc0ee7fdeb858dc440f9ee65d1d96122a4039f2679edd1f7624c06

Aliases

arxiv: 1006.2793 · arxiv_version: 1006.2793v3 · doi: 10.48550/arxiv.1006.2793 · pith_short_12: FWKKWTAXZQHO · pith_short_16: FWKKWTAXZQHOP7PL · pith_short_8: FWKKWTAX

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/FWKKWTAXZQHOP7PLQWG4IQHZ5Z \
  | 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: 2d94ab4c17cc0ee7fdeb858dc440f9ee65d1d96122a4039f2679edd1f7624c06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe3aeeb5e222a8b936b64547812d59b16fb776cf769fecc6ff09500d07932da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-06-07T22:19:48Z",
    "title_canon_sha256": "14a9c158b1310a5a16583f6dd0b8fe816e94e7a4cefd0886518de478daf0f184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2793",
    "kind": "arxiv",
    "version": 3
  }
}