Pith Number

pith:3HB2KTNS

pith:2019:3HB2KTNS26WP75ODJD4XLWFPGW

not attested not anchored not stored refs pending

Squeezing Lagrangian tori in dimension 4

Emmanuel Opshtein, Richard Hind

arxiv:1901.02124 v1 · 2019-01-08 · 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{3HB2KTNS26WP75ODJD4XLWFPGW}

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	2026-05-17T23:56:43.965720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c3a54db2d7acfff5c348f975d8af35bebe7889203d2f5643347dac26cd94bb

Aliases

arxiv: 1901.02124 · arxiv_version: 1901.02124v1 · doi: 10.48550/arxiv.1901.02124 · pith_short_12: 3HB2KTNS26WP · pith_short_16: 3HB2KTNS26WP75OD · pith_short_8: 3HB2KTNS

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/3HB2KTNS26WP75ODJD4XLWFPGW \
  | 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: d9c3a54db2d7acfff5c348f975d8af35bebe7889203d2f5643347dac26cd94bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4a24aff521492a06dc8f9537b95a85b7f38ea5a4f7819823b4f753ac524e14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2019-01-08T01:59:20Z",
    "title_canon_sha256": "798af7ce11d2d6b8a7fbb80e30ce76c1b654610fb3e9eee0dd16c48f07dad297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02124",
    "kind": "arxiv",
    "version": 1
  }
}