Pith Number

pith:5XQVNQTQ

pith:2021:5XQVNQTQPPDN2ZPPN6PNEMCZDR

not attested not anchored not stored refs pending

Fine properties of branch point singularities: stationary two-valued graphs and stable minimal hypersurfaces near points of density $< 3$

Brian Krummel, Neshan Wickramasekera

arxiv:2111.12246 v1 · 2021-11-24 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XQVNQTQPPDN2ZPPN6PNEMCZDR}

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

A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity

Receipt and verification

First computed	2026-07-05T03:34:49.872660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede156c2707bc6dd65ef6f9ed230591c6787b381989b58a9a1871a31fd782d9e

Aliases

arxiv: 2111.12246 · arxiv_version: 2111.12246v1 · doi: 10.48550/arxiv.2111.12246 · pith_short_12: 5XQVNQTQPPDN · pith_short_16: 5XQVNQTQPPDN2ZPP · pith_short_8: 5XQVNQTQ

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/5XQVNQTQPPDN2ZPPN6PNEMCZDR \
  | 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: ede156c2707bc6dd65ef6f9ed230591c6787b381989b58a9a1871a31fd782d9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3780703195e44d4ed3e38fa2b74a1736518d928dbbab220504ef3a8568fa91e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-11-24T03:33:23Z",
    "title_canon_sha256": "75c7d8f105fae830cb35236a0c257a6660a8698c7e6f3d769adaee4f17692d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.12246",
    "kind": "arxiv",
    "version": 1
  }
}