Pith Number

pith:X7F7YC4T

pith:2016:X7F7YC4TI4MSJOISZAQXJK5THV

not attested not anchored not stored refs pending

Approximations and Mittag-Leffler conditions --- the applications

Jan Trlifaj, Jan \v{S}aroch, Lidia Angeleri H\"ugel

arxiv:1612.01140 v1 · 2016-12-04 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7F7YC4TI4MSJOISZAQXJK5THV}

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	2026-05-18T00:55:53.271044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfcbfc0b93471924b912c82174abb33d5f5fac08bb8b17d6aa8f828a244848e4

Aliases

arxiv: 1612.01140 · arxiv_version: 1612.01140v1 · doi: 10.48550/arxiv.1612.01140 · pith_short_12: X7F7YC4TI4MS · pith_short_16: X7F7YC4TI4MSJOIS · pith_short_8: X7F7YC4T

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/X7F7YC4TI4MSJOISZAQXJK5THV \
  | 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: bfcbfc0b93471924b912c82174abb33d5f5fac08bb8b17d6aa8f828a244848e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b92dc49ee23bddaa45e1c79ef0fe8e418abd41a03989c4f2f4ec37209d30a033",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-12-04T16:44:44Z",
    "title_canon_sha256": "19e7caa0f7f549efc2ac310f5b28f93471724cda7be768d6b69c071f5475f005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01140",
    "kind": "arxiv",
    "version": 1
  }
}