Pith Number

pith:A76SQP6I

pith:2014:A76SQP6IXHCQWZTYTVKTU2DEDJ

not attested not anchored not stored refs pending

The moment map on symplectic vector space and oscillator representation

Takashi Hashimoto

arxiv:1408.6597 v4 · 2014-08-28 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A76SQP6IXHCQWZTYTVKTU2DEDJ}

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	2026-05-18T00:32:45.256825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07fd283fc8b9c50b66789d553a68641a407b2c842948d64af0e5b567fafd54dc

Aliases

arxiv: 1408.6597 · arxiv_version: 1408.6597v4 · doi: 10.48550/arxiv.1408.6597 · pith_short_12: A76SQP6IXHCQ · pith_short_16: A76SQP6IXHCQWZTY · pith_short_8: A76SQP6I

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/A76SQP6IXHCQWZTYTVKTU2DEDJ \
  | 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: 07fd283fc8b9c50b66789d553a68641a407b2c842948d64af0e5b567fafd54dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4880ce16ab0ce182ea885e62f34b438250bec21ce590d9c02c28ddbb3003aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-08-28T00:09:33Z",
    "title_canon_sha256": "daf09c1ae010fba74c9ecda5057a5abd339ebdd85ce8fe54c991bfa9d17649bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6597",
    "kind": "arxiv",
    "version": 4
  }
}