Pith Number

pith:IKVQK5GP

pith:2016:IKVQK5GPD5MUMGW3GL47PNAVIF

not attested not anchored not stored refs pending

Asymptotic expansions and summability with respect to an analytic germ

Jorge Mozo-Fern\'andez, Reinhard Sch\"afke

arxiv:1610.01916 v2 · 2016-10-06 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKVQK5GPD5MUMGW3GL47PNAVIF}

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	2026-05-18T00:51:33.900922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ab0574cf1f59461adb32f9f7b415414310036c7123a31140bd6fdf7f9cfe9e

Aliases

arxiv: 1610.01916 · arxiv_version: 1610.01916v2 · doi: 10.48550/arxiv.1610.01916 · pith_short_12: IKVQK5GPD5MU · pith_short_16: IKVQK5GPD5MUMGW3 · pith_short_8: IKVQK5GP

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/IKVQK5GPD5MUMGW3GL47PNAVIF \
  | 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: 42ab0574cf1f59461adb32f9f7b415414310036c7123a31140bd6fdf7f9cfe9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a00c17d9541632ad8337f97d88dbfe92d8c65eda9dfe88224ea09e75a441b6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-10-06T15:47:36Z",
    "title_canon_sha256": "e77c18eaad08b2650baa3acce3d8c0bbbedac255631045a046b172a86bd4aaf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01916",
    "kind": "arxiv",
    "version": 2
  }
}