Pith Number

pith:ODBNYC2V

pith:2012:ODBNYC2VIX6DMT5NFUC34JTCUL

not attested not anchored not stored refs pending

Proof of the index conjecture in Hofer geometry

Yasha Savelyev

arxiv:1204.3098 v3 · 2012-04-13 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODBNYC2VIX6DMT5NFUC34JTCUL}

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	2026-05-18T02:52:49.717876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70c2dc0b5545fc364fad2d05be2662a2ef3450370c8272e13aaa27dd40069872

Aliases

arxiv: 1204.3098 · arxiv_version: 1204.3098v3 · doi: 10.48550/arxiv.1204.3098 · pith_short_12: ODBNYC2VIX6D · pith_short_16: ODBNYC2VIX6DMT5N · pith_short_8: ODBNYC2V

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/ODBNYC2VIX6DMT5NFUC34JTCUL \
  | 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: 70c2dc0b5545fc364fad2d05be2662a2ef3450370c8272e13aaa27dd40069872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd3659b11be98f1e88ad5b33951c394e9e564c73c311b25aefea84f949f8fbe8",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-04-13T20:08:17Z",
    "title_canon_sha256": "e4e81c308a8c6583842795e73335777ceae39bd19632ab8c014e9c8b43cf01da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3098",
    "kind": "arxiv",
    "version": 3
  }
}