Pith Number

pith:M2H4YW7J

pith:2011:M2H4YW7J7B25HC442YC7JB5B2X

not attested not anchored not stored refs pending

Non-Archimedean Whitney stratifications

Immanuel Halupczok

arxiv:1109.5886 v4 · 2011-09-27 · math.AG · 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{M2H4YW7J7B25HC442YC7JB5B2X}

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	2026-05-18T02:44:32.689505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

668fcc5be9f875d38b9cd605f487a1d5fac99849bc4fe70d7c4eba477df76029

Aliases

arxiv: 1109.5886 · arxiv_version: 1109.5886v4 · doi: 10.48550/arxiv.1109.5886 · pith_short_12: M2H4YW7J7B25 · pith_short_16: M2H4YW7J7B25HC44 · pith_short_8: M2H4YW7J

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/M2H4YW7J7B25HC442YC7JB5B2X \
  | 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: 668fcc5be9f875d38b9cd605f487a1d5fac99849bc4fe70d7c4eba477df76029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29e7eca6f9ec7e8fb2ef5a6fadcdb9bbf6ed8cd3b81da24de1a3bd1f36c686e8",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-27T13:35:29Z",
    "title_canon_sha256": "9306351faa63addec0f1c086bd6218598d46f1bd01050a7e198769decff74066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5886",
    "kind": "arxiv",
    "version": 4
  }
}