Pith Number

pith:E2LLVN2P

pith:2014:E2LLVN2PX3IB6IXVFSWMU5VJEM

not attested not anchored not stored refs pending

Swapping algebra, Virasoro algebra and discrete integrable system

Zhe Sun

arxiv:1412.4330 v3 · 2014-12-14 · math.DG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2LLVN2PX3IB6IXVFSWMU5VJEM}

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	2026-05-18T01:04:05.945418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2696bab74fbed01f22f52cacca76a92307fb15bf75fb47dc8bf71c39b0802f2c

Aliases

arxiv: 1412.4330 · arxiv_version: 1412.4330v3 · doi: 10.48550/arxiv.1412.4330 · pith_short_12: E2LLVN2PX3IB · pith_short_16: E2LLVN2PX3IB6IXV · pith_short_8: E2LLVN2P

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/E2LLVN2PX3IB6IXVFSWMU5VJEM \
  | 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: 2696bab74fbed01f22f52cacca76a92307fb15bf75fb47dc8bf71c39b0802f2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73238de816118f80ee1c7d7f1d5b86fab7e7609becf8fbca163bf4f2155faee8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-14T09:38:49Z",
    "title_canon_sha256": "40f5225f5b2c87eff3f8f1bc155c31fd1b3abe7e33ec29bbccef2e98428d65f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4330",
    "kind": "arxiv",
    "version": 3
  }
}