Pith Number

pith:MVNA4TTN

pith:2016:MVNA4TTNPHGI2V6I6PDC3OZQJN

not attested not anchored not stored refs pending

The simplification of singularities of Lagrangian and Legendrian fronts

Daniel Alvarez-Gavela

arxiv:1605.07259 v2 · 2016-05-24 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVNA4TTNPHGI2V6I6PDC3OZQJN}

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	2026-05-18T00:46:55.705465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

655a0e4e6d79cc8d57c8f3c62dbb304b6258575356973394a400b7203d3cfe4c

Aliases

arxiv: 1605.07259 · arxiv_version: 1605.07259v2 · doi: 10.48550/arxiv.1605.07259 · pith_short_12: MVNA4TTNPHGI · pith_short_16: MVNA4TTNPHGI2V6I · pith_short_8: MVNA4TTN

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/MVNA4TTNPHGI2V6I6PDC3OZQJN \
  | 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: 655a0e4e6d79cc8d57c8f3c62dbb304b6258575356973394a400b7203d3cfe4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8f5eeb14a8952995e6ac3ce381bf3ca1f7d10763c18b69744d24f6a009b400d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-05-24T01:59:40Z",
    "title_canon_sha256": "2bac695331c22a09037451768fbf26624312cf61db066bca32978ec72f965ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07259",
    "kind": "arxiv",
    "version": 2
  }
}