Pith Number

pith:MUMTBU2H

pith:2020:MUMTBU2HSJGB3WLKCYKA3UD3DO

not attested not anchored not stored refs pending

Tangent curves to degenerating hypersurfaces

Lawrence Jack Barrott, Navid Nabijou

arxiv:2007.05016 v3 · 2020-07-09 · 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{MUMTBU2HSJGB3WLKCYKA3UD3DO}

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.

Cited by

1 paper in Pith

Smoothing toroidal crossing spaces

Receipt and verification

First computed	2026-07-05T05:10:33.721851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651930d347924c1dd96a16140dd07b1bb0b1c39cf896bb7c059fec455057b780

Aliases

arxiv: 2007.05016 · arxiv_version: 2007.05016v3 · doi: 10.48550/arxiv.2007.05016 · pith_short_12: MUMTBU2HSJGB · pith_short_16: MUMTBU2HSJGB3WLK · pith_short_8: MUMTBU2H

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/MUMTBU2HSJGB3WLKCYKA3UD3DO \
  | 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: 651930d347924c1dd96a16140dd07b1bb0b1c39cf896bb7c059fec455057b780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b2ec9753b7a1825bca33adf1cada61f8ae3f773c07366026207463f281d0920",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-07-09T18:15:36Z",
    "title_canon_sha256": "af3ef8c3d0539f3b505d0577e0f46b7c6f8e372e184aff2dfa6724941a48ab7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.05016",
    "kind": "arxiv",
    "version": 3
  }
}