Pith Number

pith:CW4DDOU2

pith:2015:CW4DDOU24SLUYEIW7UYEXRWVXL

not attested not anchored not stored refs pending

Central Invariants of the Constrained KP Hierarchies

Si-Qi Liu, Xu Zhou, Youjin Zhang

arxiv:1502.01774 v1 · 2015-02-06 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CW4DDOU24SLUYEIW7UYEXRWVXL}

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	2026-05-18T01:25:01.935169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b831ba9ae4974c1116fd304bc6d5bafd3fc863a867b3ad778cbc16f43747e9

Aliases

arxiv: 1502.01774 · arxiv_version: 1502.01774v1 · doi: 10.48550/arxiv.1502.01774 · pith_short_12: CW4DDOU24SLU · pith_short_16: CW4DDOU24SLUYEIW · pith_short_8: CW4DDOU2

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/CW4DDOU24SLUYEIW7UYEXRWVXL \
  | 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: 15b831ba9ae4974c1116fd304bc6d5bafd3fc863a867b3ad778cbc16f43747e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbe618750f3a0d7629c0f15326d9744dee9215f000de9644af43159fff98c36a",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-06T02:01:46Z",
    "title_canon_sha256": "ec44926ca8ddf39e096477064365a5745d302c91e3037061347c103921f3e1cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01774",
    "kind": "arxiv",
    "version": 1
  }
}