Pith Number

pith:NB4AUS6G

pith:2011:NB4AUS6GVLHKJAVJFTX3WIO3QO

not attested not anchored not stored refs pending

Symplectic Microgeometry II: Generating functions

Alan Weinstein, Alberto S. Cattaneo, Benoit Dherin

arxiv:1103.0672 v2 · 2011-03-03 · math.SG · math-ph · 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{NB4AUS6GVLHKJAVJFTX3WIO3QO}

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	2026-07-05T00:47:24.362397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68780a4bc6aacea482a92cefbb21db839a648e95c300c6a055cc69c6cdd7d4f9

Aliases

arxiv: 1103.0672 · arxiv_version: 1103.0672v2 · doi: 10.48550/arxiv.1103.0672 · pith_short_12: NB4AUS6GVLHK · pith_short_16: NB4AUS6GVLHKJAVJ · pith_short_8: NB4AUS6G

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/NB4AUS6GVLHKJAVJFTX3WIO3QO \
  | 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: 68780a4bc6aacea482a92cefbb21db839a648e95c300c6a055cc69c6cdd7d4f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c96578b41ffc54b449c2bcae9510d6c6f456b80f762bcd3caaba883b8993fe28",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-03-03T12:44:24Z",
    "title_canon_sha256": "b447cf59568fca07a61daa6b04ca92c5faf3884d8129dd2fbd96639ea9a2d8f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0672",
    "kind": "arxiv",
    "version": 2
  }
}