Pith Number

pith:ZCTS2ZA4

pith:1997:ZCTS2ZA4THHHPQYLTNFKC7IGL4

not attested not anchored not stored refs pending

Correlation between pole location and asymptotic behavior for Painlev\'e I solutions

Ovidiu Costin

arxiv:math/9709223 v1 · 1997-09-21 · 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{ZCTS2ZA4THHHPQYLTNFKC7IGL4}

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	2026-05-18T01:05:34.806121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8a72d641c99ce77c30b9b4aa17d065f30a5522856e4e07507e55c45c6e130e1

Aliases

arxiv: math/9709223 · arxiv_version: math/9709223v1 · doi: 10.48550/arxiv.math/9709223 · pith_short_12: ZCTS2ZA4THHH · pith_short_16: ZCTS2ZA4THHHPQYL · pith_short_8: ZCTS2ZA4

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/ZCTS2ZA4THHHPQYLTNFKC7IGL4 \
  | 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: c8a72d641c99ce77c30b9b4aa17d065f30a5522856e4e07507e55c45c6e130e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df682ec6469b5bc5d9572645d65794d9b751fee995213312f8a4863297637ada",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1997-09-21T00:00:00Z",
    "title_canon_sha256": "d9005419fffec2b3aca4c0381c1f2f7adfc2be5452fc2f7c93a44c9fd684a770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9709223",
    "kind": "arxiv",
    "version": 1
  }
}