Pith Number

pith:GGNRIFSA

pith:2012:GGNRIFSAEL6PJ7LHRNPX5MTNM6

not attested not anchored not stored refs pending

The Hofer question on intermediate symplectic capacities

Alvaro Pelayo, San Vu Ngoc

arxiv:1210.1537 v3 · 2012-10-04 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGNRIFSAEL6PJ7LHRNPX5MTNM6}

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	2026-05-18T01:53:27.466891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319b14164022fcf4fd678b5f7eb26d67a22d804b7db02020e8450a9f96acae2a

Aliases

arxiv: 1210.1537 · arxiv_version: 1210.1537v3 · doi: 10.48550/arxiv.1210.1537 · pith_short_12: GGNRIFSAEL6P · pith_short_16: GGNRIFSAEL6PJ7LH · pith_short_8: GGNRIFSA

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/GGNRIFSAEL6PJ7LHRNPX5MTNM6 \
  | 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: 319b14164022fcf4fd678b5f7eb26d67a22d804b7db02020e8450a9f96acae2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa0812998d920091906a07a0243503f092f9499c66d1148d66353b659410aeb",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-10-04T18:54:21Z",
    "title_canon_sha256": "9c25941f06efc554c115c9d483cde166cf22e341b91983ce9d49562a433f7777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1537",
    "kind": "arxiv",
    "version": 3
  }
}