Pith Number

pith:3X7MU2Z7

pith:1999:3X7MU2Z7OW2HTVQ6KKEGRU6H2X

not attested not anchored not stored refs pending

Regularity of operators on essential extensions of the compacts

Arupkumar Pal

arxiv:math/9906186 v1 · 1999-06-28 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3X7MU2Z7OW2HTVQ6KKEGRU6H2X}

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	2026-05-18T01:05:32.898424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddfeca6b3f75b479d61e528868d3c7d5df1cbebe5a08833272313ea0bee2a7bb

Aliases

arxiv: math/9906186 · arxiv_version: math/9906186v1 · doi: 10.48550/arxiv.math/9906186 · pith_short_12: 3X7MU2Z7OW2H · pith_short_16: 3X7MU2Z7OW2HTVQ6 · pith_short_8: 3X7MU2Z7

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/3X7MU2Z7OW2HTVQ6KKEGRU6H2X \
  | 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: ddfeca6b3f75b479d61e528868d3c7d5df1cbebe5a08833272313ea0bee2a7bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "991d2a2860f345617e6b5533d4aa5ef0042b870888e869b7883802b7c2c6a33c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "1999-06-28T04:51:29Z",
    "title_canon_sha256": "c65eccb4291407089f425060730037ae3c54ccbc823e87a2bdb1df6d5fa57026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9906186",
    "kind": "arxiv",
    "version": 1
  }
}