Pith Number

pith:TA3GBHT2

pith:2012:TA3GBHT2KN5KZY5T3H4R24NIU7

not attested not anchored not stored refs pending

Asymptotics of a Fredholm determinant involving the second Painlev\'e transcendent

Alexander Its, Thomas Bothner

arxiv:1209.5415 v2 · 2012-09-24 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TA3GBHT2KN5KZY5T3H4R24NIU7}

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	2026-05-18T03:41:40.067023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9836609e7a537aace3b3d9f91d71a8a7e48c0213a72938d8d9ee1289fc76f91c

Aliases

arxiv: 1209.5415 · arxiv_version: 1209.5415v2 · doi: 10.48550/arxiv.1209.5415 · pith_short_12: TA3GBHT2KN5K · pith_short_16: TA3GBHT2KN5KZY5T · pith_short_8: TA3GBHT2

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/TA3GBHT2KN5KZY5T3H4R24NIU7 \
  | 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: 9836609e7a537aace3b3d9f91d71a8a7e48c0213a72938d8d9ee1289fc76f91c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f362260f1accf8c7518b17629f2d15b0ae791a6a57c2a40aa7d6b4f8b62cccb9",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-24T20:40:25Z",
    "title_canon_sha256": "27bb8775e6627223961e4837b99fca31f1b4a18e1fdd9030c5f75846f22b3db2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5415",
    "kind": "arxiv",
    "version": 2
  }
}