Pith Number

pith:6MDZ44CN

pith:2008:6MDZ44CNCH2MQZLFJQDVWVVXBK

not attested not anchored not stored refs pending

Extensions of an $AC(\sigma)$ functional calculus

Ian Doust, Venta Terauds

arxiv:0803.2131 v1 · 2008-03-14 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MDZ44CNCH2MQZLFJQDVWVVXBK}

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	2026-05-18T04:19:23.556749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3079e704d11f4c865654c075b56b70a8b8a1fd9d40f10299ec284d360fdfac2

Aliases

arxiv: 0803.2131 · arxiv_version: 0803.2131v1 · doi: 10.48550/arxiv.0803.2131 · pith_short_12: 6MDZ44CNCH2M · pith_short_16: 6MDZ44CNCH2MQZLF · pith_short_8: 6MDZ44CN

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/6MDZ44CNCH2MQZLFJQDVWVVXBK \
  | 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: f3079e704d11f4c865654c075b56b70a8b8a1fd9d40f10299ec284d360fdfac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5afb1dc8ab6d9c10b0d2ca91cd2e986bdda44619ccacd7c3a3fb09db2f06a0a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-03-14T11:12:39Z",
    "title_canon_sha256": "70327f589c98c3e822770f46b3c36507601d95ff522f57ee1768b12e986d19c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2131",
    "kind": "arxiv",
    "version": 1
  }
}