Pith Number

pith:FDDJKIG6

pith:2011:FDDJKIG6O6ZJS77YVD6NNIMSTR

not attested not anchored not stored refs pending

Hofer Geometry of a Subset of a Symplectic Manifold

Fabian Ziltener, Jan Swoboda

arxiv:1102.4889 v1 · 2011-02-24 · 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{FDDJKIG6O6ZJS77YVD6NNIMSTR}

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	2026-05-18T04:27:58.519424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28c69520de77b2997ff8a8fcd6a1929c424b3649f8fdf2543245793445ff0927

Aliases

arxiv: 1102.4889 · arxiv_version: 1102.4889v1 · doi: 10.48550/arxiv.1102.4889 · pith_short_12: FDDJKIG6O6ZJ · pith_short_16: FDDJKIG6O6ZJS77Y · pith_short_8: FDDJKIG6

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/FDDJKIG6O6ZJS77YVD6NNIMSTR \
  | 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: 28c69520de77b2997ff8a8fcd6a1929c424b3649f8fdf2543245793445ff0927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e64641fbc8ba8ddb84c9de504875be69dc63279bfeadd43921302c03a94cec4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-02-24T01:20:17Z",
    "title_canon_sha256": "5a6e9bb40ab9f56db37914940fc06d5b6d10e2cedd0cc93e37aecd4612d187d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4889",
    "kind": "arxiv",
    "version": 1
  }
}