Pith Number

pith:PYFF5HM6

pith:2018:PYFF5HM67PGX62MWSAPWTU2RJT

not attested not anchored not stored refs pending

Asymptotically almost periodic and asymptotically almost automorphic vector-valued generalized functions

Marko Kostic

arxiv:1808.03163 v1 · 2018-08-08 · 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{PYFF5HM67PGX62MWSAPWTU2RJT}

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	2026-05-18T00:08:30.025419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e0a5e9d9efbcd7f6996901f69d3514cc130cc7a1184c13f26095210db191a26

Aliases

arxiv: 1808.03163 · arxiv_version: 1808.03163v1 · doi: 10.48550/arxiv.1808.03163 · pith_short_12: PYFF5HM67PGX · pith_short_16: PYFF5HM67PGX62MW · pith_short_8: PYFF5HM6

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/PYFF5HM67PGX62MWSAPWTU2RJT \
  | 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: 7e0a5e9d9efbcd7f6996901f69d3514cc130cc7a1184c13f26095210db191a26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9993113ae8532a2521a5e7160576878a0df9467d83a97bad2745598b202125fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-08T11:29:24Z",
    "title_canon_sha256": "a80945ec7e51264545d6fa5f2916f80c36252e4abee5dd06e93b64d8aeae81fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03163",
    "kind": "arxiv",
    "version": 1
  }
}