Pith Number

pith:2ESRVKF5

pith:2015:2ESRVKF5DM242HRNMAWL6BNOCK

not attested not anchored not stored refs pending

Equivariant smoothing of piecewise linear manifolds

Christian Lange

arxiv:1507.02395 v2 · 2015-07-09 · math.GT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ESRVKF5DM242HRNMAWL6BNOCK}

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	2026-05-18T00:50:57.779679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1251aa8bd1b35cd1e2d602cbf05ae12ace868492cbcdf2fdb98dfcab1f8cc1d

Aliases

arxiv: 1507.02395 · arxiv_version: 1507.02395v2 · doi: 10.48550/arxiv.1507.02395 · pith_short_12: 2ESRVKF5DM24 · pith_short_16: 2ESRVKF5DM242HRN · pith_short_8: 2ESRVKF5

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/2ESRVKF5DM242HRNMAWL6BNOCK \
  | 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: d1251aa8bd1b35cd1e2d602cbf05ae12ace868492cbcdf2fdb98dfcab1f8cc1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b38c0689dc2c694a1904474c907209c6df9c0078be57f38e9488311ea8b37881",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-09T07:20:54Z",
    "title_canon_sha256": "5e99fc2a0ecc6bb588f49d90f40e9c98aac01b21cb84831c37ff6259f962dac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02395",
    "kind": "arxiv",
    "version": 2
  }
}