Pith Number

pith:ESCND665

pith:2018:ESCND665OK2OMJ6QEVRVLG7GZA

not attested not anchored not stored refs pending

Structure of the endpoint map near nice singular curves

Andrei A. Agrachev, Francesco Boarotto

arxiv:1810.12662 v2 · 2018-10-30 · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESCND665OK2OMJ6QEVRVLG7GZA}

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	2026-05-17T23:41:12.724441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2484d1fbdd72b4e627d02563559be6c83b8f9321225d173fcffb7bbfc85b089f

Aliases

arxiv: 1810.12662 · arxiv_version: 1810.12662v2 · doi: 10.48550/arxiv.1810.12662 · pith_short_12: ESCND665OK2O · pith_short_16: ESCND665OK2OMJ6Q · pith_short_8: ESCND665

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/ESCND665OK2OMJ6QEVRVLG7GZA \
  | 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: 2484d1fbdd72b4e627d02563559be6c83b8f9321225d173fcffb7bbfc85b089f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23cb693fc380ebf9642d01739cc121d3a6391f92da13dc246bb5a359f3ef4cb2",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-10-30T11:19:41Z",
    "title_canon_sha256": "eca025b6fcdd0fca301a877c03fdfcb467f934b2362ec2e640d68be4b44e7e2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12662",
    "kind": "arxiv",
    "version": 2
  }
}