Pith Number

pith:QDR6R5KV

pith:2011:QDR6R5KVZ37DPW7OI3Q52CQW2H

not attested not anchored not stored refs pending

The Korteweg-de-Vries equation at H^{-1} regularity

Herbert Koch, Tristan Buckmaster

arxiv:1112.4657 v2 · 2011-12-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDR6R5KVZ37DPW7OI3Q52CQW2H}

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	2026-05-18T03:50:50.365404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80e3e8f555cefe37dbee46e1dd0a16d1d1dde3d052ae57c5977805561846e0fe

Aliases

arxiv: 1112.4657 · arxiv_version: 1112.4657v2 · doi: 10.48550/arxiv.1112.4657 · pith_short_12: QDR6R5KVZ37D · pith_short_16: QDR6R5KVZ37DPW7O · pith_short_8: QDR6R5KV

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/QDR6R5KVZ37DPW7OI3Q52CQW2H \
  | 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: 80e3e8f555cefe37dbee46e1dd0a16d1d1dde3d052ae57c5977805561846e0fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c31d5e57af9a2d0633c04a08647ac06acd5ca2980c01b41465aa0f08a0465d51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-20T11:35:41Z",
    "title_canon_sha256": "5b9962b63fe682e75bb94ab856b8bf90e33e1cac0a41215ce8821cfa585f5c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4657",
    "kind": "arxiv",
    "version": 2
  }
}