Pith Number

pith:5TVI5HQ5

pith:2016:5TVI5HQ54JICUG4JKMAI7YV42U

not attested not anchored not stored refs pending

Short note on Smithson's paper concerning Arzel\`a-Ascoli theorem for multifunctions

Mateusz Krukowski

arxiv:1608.04235 v1 · 2016-08-15 · 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{5TVI5HQ54JICUG4JKMAI7YV42U}

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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	2026-05-18T01:09:04.009637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecea8e9e1de2502a1b8953008fe2bcd539d30ecc5729eeef8d8fb836dc34b44c

Aliases

arxiv: 1608.04235 · arxiv_version: 1608.04235v1 · doi: 10.48550/arxiv.1608.04235 · pith_short_12: 5TVI5HQ54JIC · pith_short_16: 5TVI5HQ54JICUG4J · pith_short_8: 5TVI5HQ5

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/5TVI5HQ54JICUG4JKMAI7YV42U \
  | 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: ecea8e9e1de2502a1b8953008fe2bcd539d30ecc5729eeef8d8fb836dc34b44c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98396afb5c4d7cfed89b5a5868b091c9f6a2a902011fdb8cf05754eb42649702",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-15T11:11:18Z",
    "title_canon_sha256": "8ad1ef124e19107d01a54415eb9e9280d11765a1c4ae97b06e399d5130c90190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04235",
    "kind": "arxiv",
    "version": 1
  }
}