Pith Number

pith:T5ETIP43

pith:2019:T5ETIP43BIHX7DNA6HEWKIVA2V

not attested not anchored not stored refs pending

Cartan--Whitney Presentation, Non-smooth Analysis and Smoothability of Manifolds: On a theorem of Kondo--Tanaka

Siran Li

arxiv:1904.00515 v1 · 2019-04-01 · math.DG · math.CA · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5ETIP43BIHX7DNA6HEWKIVA2V}

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	2026-05-17T23:49:48.232463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f49343f9b0a0f7f8da0f1c96522a0d545eacbcdf4a2583ee5b364e1d155647f

Aliases

arxiv: 1904.00515 · arxiv_version: 1904.00515v1 · doi: 10.48550/arxiv.1904.00515 · pith_short_12: T5ETIP43BIHX · pith_short_16: T5ETIP43BIHX7DNA · pith_short_8: T5ETIP43

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/T5ETIP43BIHX7DNA6HEWKIVA2V \
  | 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: 9f49343f9b0a0f7f8da0f1c96522a0d545eacbcdf4a2583ee5b364e1d155647f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3c98d0051a314accd174ba74b749d21308570a53527a98269bfa85a119912f7",
    "cross_cats_sorted": [
      "math.CA",
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-04-01T00:22:59Z",
    "title_canon_sha256": "e5cd52eb72b1743abeea8af88426a231d7a056447d32fe82c98e91c6d20df972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00515",
    "kind": "arxiv",
    "version": 1
  }
}