Pith Number

pith:FAX5UOW6

pith:2016:FAX5UOW633ERVALJZA2ZOANJJ7

not attested not anchored not stored refs pending

Discrete and continuous fractional persistence problems - the positivity property and applications

Anna Szafra\'nska, Jacky Cresson

arxiv:1604.02169 v1 · 2016-04-07 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FAX5UOW633ERVALJZA2ZOANJJ7}

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	2026-05-18T01:02:44.665095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

282fda3adedec91a8169c8359701a94fc4a935f5e93b474a7920a23f2b349872

Aliases

arxiv: 1604.02169 · arxiv_version: 1604.02169v1 · doi: 10.48550/arxiv.1604.02169 · pith_short_12: FAX5UOW633ER · pith_short_16: FAX5UOW633ERVALJ · pith_short_8: FAX5UOW6

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/FAX5UOW633ERVALJZA2ZOANJJ7 \
  | 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: 282fda3adedec91a8169c8359701a94fc4a935f5e93b474a7920a23f2b349872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04984aa0bb8a1e085efaad9cb530b5182e91d9c0242b591c4fafc7f1af9995c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-04-07T20:32:20Z",
    "title_canon_sha256": "311aaeaf51cfb137d312f76d5c7c32cb9c11ab9ce9c7486372a6ca3b76d00c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02169",
    "kind": "arxiv",
    "version": 1
  }
}