Pith Number

pith:PMJTKJKD

pith:2015:PMJTKJKDFSFC7YVXKGELOG5DXR

not attested not anchored not stored refs pending

Non-commutative holomorphic functions on Operator domains

Jim Agler, John E. McCarthy

arxiv:1509.01132 v1 · 2015-09-03 · 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{PMJTKJKDFSFC7YVXKGELOG5DXR}

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	2026-05-18T01:34:04.231222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b133525432c8a2fe2b75188b71ba3bc6ff47571db7749fec7be32e73c06cd82

Aliases

arxiv: 1509.01132 · arxiv_version: 1509.01132v1 · doi: 10.48550/arxiv.1509.01132 · pith_short_12: PMJTKJKDFSFC · pith_short_16: PMJTKJKDFSFC7YVX · pith_short_8: PMJTKJKD

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/PMJTKJKDFSFC7YVXKGELOG5DXR \
  | 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: 7b133525432c8a2fe2b75188b71ba3bc6ff47571db7749fec7be32e73c06cd82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7760199365cfeab133dd6e31365a9eaf0a4cc923597b27015b93341ff21b5d2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-03T15:46:27Z",
    "title_canon_sha256": "eba3d5ac2b0602a778e21a7334ba49cd8641cecf92b88e0748e88e481eaf548f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01132",
    "kind": "arxiv",
    "version": 1
  }
}