Pith Number

pith:M5EQFLE3

pith:2010:M5EQFLE3VLWO7XISWKOPVHAJLX

not attested not anchored not stored refs pending

Spectral geometry of the group of Hamiltonian symplectomorphisms

Yasha Savelyev

arxiv:1007.3213 v6 · 2010-07-19 · math.DG · 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{M5EQFLE3VLWO7XISWKOPVHAJLX}

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	2026-05-18T04:20:13.151276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

674902ac9baaecefdd12b29cfa9c095dc4c3170e4a7f6b8b9a6859c5f6445124

Aliases

arxiv: 1007.3213 · arxiv_version: 1007.3213v6 · doi: 10.48550/arxiv.1007.3213 · pith_short_12: M5EQFLE3VLWO · pith_short_16: M5EQFLE3VLWO7XIS · pith_short_8: M5EQFLE3

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/M5EQFLE3VLWO7XISWKOPVHAJLX \
  | 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: 674902ac9baaecefdd12b29cfa9c095dc4c3170e4a7f6b8b9a6859c5f6445124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd81bdb8d59fe9843695834e92f168cc4f75f965af3b77056fafa6d1c4ea98ad",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-07-19T17:16:24Z",
    "title_canon_sha256": "a6e11448c456da63137275fa4093bde98cacbc51965b9b922370db94b2f6b910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3213",
    "kind": "arxiv",
    "version": 6
  }
}