Pith Number

pith:65L4XAFT

pith:2017:65L4XAFTFQOMXVRLVGX6XB7XP2

not attested not anchored not stored refs pending

Critical points of master functions and mKdV hierarchy of type $A^{(2)}_{2n}$

Alexander Varchenko, Tyler Woodruff

arxiv:1702.06169 v1 · 2017-02-20 · math.AG · 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{65L4XAFTFQOMXVRLVGX6XB7XP2}

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	2026-05-18T00:50:14.822699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f757cb80b32c1ccbd62ba9afeb87f77e9cb990ec4857451f5b9c02419fca6021

Aliases

arxiv: 1702.06169 · arxiv_version: 1702.06169v1 · doi: 10.48550/arxiv.1702.06169 · pith_short_12: 65L4XAFTFQOM · pith_short_16: 65L4XAFTFQOMXVRL · pith_short_8: 65L4XAFT

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/65L4XAFTFQOMXVRLVGX6XB7XP2 \
  | 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: f757cb80b32c1ccbd62ba9afeb87f77e9cb990ec4857451f5b9c02419fca6021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28a0378585514b7cdcb1d6ebcc7660bd20cf5302abfe05fd7628a70666ba8dc8",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-20T20:42:28Z",
    "title_canon_sha256": "fbe8243d5776f71c2e48fa9ce612f486529ccbd0d76a367181f158c056be61f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06169",
    "kind": "arxiv",
    "version": 1
  }
}