Pith Number

pith:3DWRPWMO

pith:2015:3DWRPWMOB7RAE3VTPLKEVGSE5N

not attested not anchored not stored refs pending

Sharp extensions and algebraic properties for solution families of vector-valued differential equations

Carlos Lizama, Luciano Abadias, Pedro J. Miana

arxiv:1505.02995 v1 · 2015-05-12 · 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{3DWRPWMOB7RAE3VTPLKEVGSE5N}

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	2026-05-18T01:25:00.525754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ed17d98e0fe2026eb37ad44a9a44eb4a294efce987eb95f4c2bf2ff28e9a6c

Aliases

arxiv: 1505.02995 · arxiv_version: 1505.02995v1 · doi: 10.48550/arxiv.1505.02995 · pith_short_12: 3DWRPWMOB7RA · pith_short_16: 3DWRPWMOB7RAE3VT · pith_short_8: 3DWRPWMO

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/3DWRPWMOB7RAE3VTPLKEVGSE5N \
  | 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: d8ed17d98e0fe2026eb37ad44a9a44eb4a294efce987eb95f4c2bf2ff28e9a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebfb202575712127401b4313e78a42b1d1fba7a10cd5d10f60425ad1782103c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-12T13:15:33Z",
    "title_canon_sha256": "dbaed535db0547558f9011a63d023730bcae2a2b9ecedc6665cdf3f35d795753"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02995",
    "kind": "arxiv",
    "version": 1
  }
}