Pith Number

pith:5RVIPBV2

pith:2020:5RVIPBV2ADV5QWSGRZCT7XQRPD

not attested not anchored not stored refs pending

Symplectic Microgeometry IV: Quantization

Alan Weinstein, Alberto S. Cattaneo, Benoit Dherin

arxiv:2007.08167 v2 · 2020-07-16 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RVIPBV2ADV5QWSGRZCT7XQRPD}

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	2026-07-05T03:10:25.096731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec6a8786ba00ebd85a468e453fde1178c5f62382e60f8c2cc93fd4b251213f10

Aliases

arxiv: 2007.08167 · arxiv_version: 2007.08167v2 · doi: 10.48550/arxiv.2007.08167 · pith_short_12: 5RVIPBV2ADV5 · pith_short_16: 5RVIPBV2ADV5QWSG · pith_short_8: 5RVIPBV2

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/5RVIPBV2ADV5QWSGRZCT7XQRPD \
  | 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: ec6a8786ba00ebd85a468e453fde1178c5f62382e60f8c2cc93fd4b251213f10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e135f3f60bf11fa96e52d42e9a3fe90907fceac1a39b07aadc103be514c2069d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2020-07-16T08:02:51Z",
    "title_canon_sha256": "9645a3ceb1c255f4b4cfa9fefd38d4cf80e5965938a80e3aca01ef42f06eb4aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08167",
    "kind": "arxiv",
    "version": 2
  }
}