Pith Number

pith:GUKTXMAM

pith:2019:GUKTXMAM6W4SRCOSTT3JOH3KYW

not attested not anchored not stored refs pending

A global bound for the singular set of area-minimizing hypersurfaces

Nick Edelen

arxiv:1901.02837 v1 · 2019-01-09 · math.DG · 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{GUKTXMAM6W4SRCOSTT3JOH3KYW}

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	2026-05-17T23:56:39.357987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35153bb00cf5b92889d29cf6971f6ac5a5c160b85e87b0c15d02d7152b7d4451

Aliases

arxiv: 1901.02837 · arxiv_version: 1901.02837v1 · doi: 10.48550/arxiv.1901.02837 · pith_short_12: GUKTXMAM6W4S · pith_short_16: GUKTXMAM6W4SRCOS · pith_short_8: GUKTXMAM

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/GUKTXMAM6W4SRCOSTT3JOH3KYW \
  | 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: 35153bb00cf5b92889d29cf6971f6ac5a5c160b85e87b0c15d02d7152b7d4451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "734828dc52ff58b182bf4667e74459cd6e3a0c7e29ff6013f605cbc1116431e9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-01-09T17:18:49Z",
    "title_canon_sha256": "3bc82daf1654d9fa5e52109165f05f70b7e1ac15d8c40f09986d2e31eb139645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02837",
    "kind": "arxiv",
    "version": 1
  }
}