Pith Number

pith:ICT4YEPL

pith:2015:ICT4YEPL3S2AB25EOSJGELAWZ7

not attested not anchored not stored refs pending

Thin-thick decomposition for real definable isolated singularities

Alexandre Fernandes, Lev Birbrair, Vincent Grandjean

arxiv:1505.07309 v1 · 2015-05-27 · math.MG · 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{ICT4YEPL3S2AB25EOSJGELAWZ7}

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	2026-05-18T02:02:04.911422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40a7cc11ebdcb400eba47492622c16cff12d2c651d8b683f12a4d4b70a5c4172

Aliases

arxiv: 1505.07309 · arxiv_version: 1505.07309v1 · doi: 10.48550/arxiv.1505.07309 · pith_short_12: ICT4YEPL3S2A · pith_short_16: ICT4YEPL3S2AB25E · pith_short_8: ICT4YEPL

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/ICT4YEPL3S2AB25EOSJGELAWZ7 \
  | 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: 40a7cc11ebdcb400eba47492622c16cff12d2c651d8b683f12a4d4b70a5c4172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaeb72e378db2141cf9474531a701f8911b97e451290dc119e23ad9c318654bd",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-05-27T13:33:39Z",
    "title_canon_sha256": "1a4de60829f7976f882afa6b9ab6fc1311de58f793947bcc5b941767155c65cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07309",
    "kind": "arxiv",
    "version": 1
  }
}