Pith Number

pith:YBCHORQM

pith:2015:YBCHORQM7UTHZREEWJS7V65EIH

not attested not anchored not stored refs pending

Legendrian submanifolds with hamiltonian isotopic symplectizations

Sylvain Courte

arxiv:1512.00606 v2 · 2015-12-02 · 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{YBCHORQM7UTHZREEWJS7V65EIH}

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	2026-05-18T00:54:20.671614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c04477460cfd267cc484b265fafba441ea9560c30629e65fbdc531676a1ac454

Aliases

arxiv: 1512.00606 · arxiv_version: 1512.00606v2 · doi: 10.48550/arxiv.1512.00606 · pith_short_12: YBCHORQM7UTH · pith_short_16: YBCHORQM7UTHZREE · pith_short_8: YBCHORQM

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/YBCHORQM7UTHZREEWJS7V65EIH \
  | 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: c04477460cfd267cc484b265fafba441ea9560c30629e65fbdc531676a1ac454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14a8e16f1de7f60b2815d4bec5241cf10735cb53dda90e6781c0a9e364c9f0c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-12-02T08:23:19Z",
    "title_canon_sha256": "616542667e47ec6742f628cc3c6c3789c6e1a6bbca0d5a6862e5f132564cfb13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00606",
    "kind": "arxiv",
    "version": 2
  }
}