Pith Number

pith:CR43MJSN

pith:2016:CR43MJSNE3IJ7PB7TENEZFLRDU

not attested not anchored not stored refs pending

Uniqueness of form extensions and domination of semigroups

Melchior Wirth

arxiv:1604.05114 v1 · 2016-04-18 · 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{CR43MJSNE3IJ7PB7TENEZFLRDU}

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	2026-05-18T01:16:55.706166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1479b6264d26d09fbc3f991a4c95711d3bb0cf2771652d959c617775bb2a4ba5

Aliases

arxiv: 1604.05114 · arxiv_version: 1604.05114v1 · doi: 10.48550/arxiv.1604.05114 · pith_short_12: CR43MJSNE3IJ · pith_short_16: CR43MJSNE3IJ7PB7 · pith_short_8: CR43MJSN

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/CR43MJSNE3IJ7PB7TENEZFLRDU \
  | 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: 1479b6264d26d09fbc3f991a4c95711d3bb0cf2771652d959c617775bb2a4ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d878352b6a71ada43caa48802beafc6793edda70fe174cd55ca51a83c18e13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-18T12:24:16Z",
    "title_canon_sha256": "0eefb8fa03960c2d78fe2b709e3623cefa314734a901163f7fd9a98e3e1b7f81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05114",
    "kind": "arxiv",
    "version": 1
  }
}