Pith Number

pith:ACKRAHQY

pith:1996:ACKRAHQYPNNCGAYFX4FV4F5WW3

not attested not anchored not stored refs pending

Sixth Painlev\'e Equation, Universal Elliptic Curve, and Mirror of $\bold{P}^2$

Yu.I.Manin

arxiv:alg-geom/9605010 v1 · 1996-05-22 · alg-geom · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACKRAHQYPNNCGAYFX4FV4F5WW3}

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.

Cited by

1 paper in Pith

Modular transformations of tau functions and conformal blocks on the torus

Receipt and verification

First computed	2026-07-04T15:08:06.014681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0095101e187b5a230305bf0b5e17b6b6c8b78f2047fb492033ce85c805c69108

Aliases

arxiv: alg-geom/9605010 · arxiv_version: alg-geom/9605010v1 · doi: 10.48550/arxiv.alg-geom/9605010 · pith_short_12: ACKRAHQYPNNC · pith_short_16: ACKRAHQYPNNCGAYF · pith_short_8: ACKRAHQY

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/ACKRAHQYPNNCGAYFX4FV4F5WW3 \
  | 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: 0095101e187b5a230305bf0b5e17b6b6c8b78f2047fb492033ce85c805c69108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0d8539351a58c5f7c9cfec7c879c672bbebb2069bd64fd0f9a377dc3805fd24",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1996-05-22T11:02:16Z",
    "title_canon_sha256": "9e6a550489fc934d1d67f0d4c6acfb801a82cd4eb1aa786028d5081cb3064b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9605010",
    "kind": "arxiv",
    "version": 1
  }
}