Pith Number

pith:B4BU5XRE

pith:2011:B4BU5XREY6XRHCWNAV47Z27IXP

not attested not anchored not stored refs pending

Specialization to the tangent cone and Whitney Equisingularity

Arturo Giles Flores

arxiv:1106.1191 v1 · 2011-06-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4BU5XREY6XRHCWNAV47Z27IXP}

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	2026-05-18T04:20:24.346338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f034ede24c7af138acd0579fcebe8bbfb4a92c0d95007fbd2e9311e4e02e6d2

Aliases

arxiv: 1106.1191 · arxiv_version: 1106.1191v1 · doi: 10.48550/arxiv.1106.1191 · pith_short_12: B4BU5XREY6XR · pith_short_16: B4BU5XREY6XRHCWN · pith_short_8: B4BU5XRE

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/B4BU5XREY6XRHCWNAV47Z27IXP \
  | 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: 0f034ede24c7af138acd0579fcebe8bbfb4a92c0d95007fbd2e9311e4e02e6d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c03f975948d12392b21889d78aa6da260d746eb467364b5d1b1e984ec2328d8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-06T20:21:36Z",
    "title_canon_sha256": "73719e2bb86e4eaecb678eefb1a520ea5bfc69f585653ce3df2d7a62d41154dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1191",
    "kind": "arxiv",
    "version": 1
  }
}