Pith Number

pith:ISKX5D6X

pith:2010:ISKX5D6XADSMJUSYVVQTAIWZAG

not attested not anchored not stored refs pending

On the normal cycles of subanalytic sets

Liviu I. Nicolaescu

arxiv:1003.1631 v4 · 2010-03-08 · math.DG · math.GT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISKX5D6XADSMJUSYVVQTAIWZAG}

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	2026-05-18T02:24:38.123432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44957e8fd700e4c4d258ad613022d901a4d50814ab4feebb94ad4e0be2eba825

Aliases

arxiv: 1003.1631 · arxiv_version: 1003.1631v4 · doi: 10.48550/arxiv.1003.1631 · pith_short_12: ISKX5D6XADSM · pith_short_16: ISKX5D6XADSMJUSY · pith_short_8: ISKX5D6X

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/ISKX5D6XADSMJUSYVVQTAIWZAG \
  | 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: 44957e8fd700e4c4d258ad613022d901a4d50814ab4feebb94ad4e0be2eba825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "508e3ce3fb0676671baa8968ac1a80cdefd00c02a22f8f936f4fe259b41c6064",
    "cross_cats_sorted": [
      "math.GT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-08T14:02:49Z",
    "title_canon_sha256": "29cb9555adeabf8db0e3c7112ea93d369acb0a7f5f315cb1c96a21ef61c6eec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1631",
    "kind": "arxiv",
    "version": 4
  }
}