Pith Number

pith:TIKRCFLN

pith:2012:TIKRCFLNCH7M4ATGKKPMJMVVSR

not attested not anchored not stored refs pending

Power series with Taylor coefficients of sum-product type and algebraic differential equations /SP-series and the interplay between their resurgence and differential properties

Shweta Sharma

arxiv:1201.5266 v1 · 2012-01-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIKRCFLNCH7M4ATGKKPMJMVVSR}

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	2026-05-18T04:03:55.170937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a1511156d11fece0266529ec4b2b594660cb97c126e6bbf2d70d7b17bb2c522

Aliases

arxiv: 1201.5266 · arxiv_version: 1201.5266v1 · doi: 10.48550/arxiv.1201.5266 · pith_short_12: TIKRCFLNCH7M · pith_short_16: TIKRCFLNCH7M4ATG · pith_short_8: TIKRCFLN

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/TIKRCFLNCH7M4ATGKKPMJMVVSR \
  | 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: 9a1511156d11fece0266529ec4b2b594660cb97c126e6bbf2d70d7b17bb2c522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c08478228c597484253c5b34f5c584a781d99e4b6b39d4008071d1778ae63aa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-25T13:26:51Z",
    "title_canon_sha256": "a030e21e24b13e8d028f573c1f2ded77574795719a980ccac252696abcb07a56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5266",
    "kind": "arxiv",
    "version": 1
  }
}