Pith Number

pith:K3TZSUIX

pith:2012:K3TZSUIXZJOVERLEXUP3B2N3TL

not attested not anchored not stored refs pending

The half-space property and entire positive minimal graphs in M x R

Felix Schulze, Harold Rosenberg, Joel Spruck

arxiv:1206.3499 v1 · 2012-06-15 · 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{K3TZSUIXZJOVERLEXUP3B2N3TL}

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	2026-05-18T03:53:30.105812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56e7995117ca5d524564bd1fb0e9bb9acfb52ac3dcf50806f6d590e4b4d0b32a

Aliases

arxiv: 1206.3499 · arxiv_version: 1206.3499v1 · doi: 10.48550/arxiv.1206.3499 · pith_short_12: K3TZSUIXZJOV · pith_short_16: K3TZSUIXZJOVERLE · pith_short_8: K3TZSUIX

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/K3TZSUIXZJOVERLEXUP3B2N3TL \
  | 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: 56e7995117ca5d524564bd1fb0e9bb9acfb52ac3dcf50806f6d590e4b4d0b32a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404edc1210a5202f5d828176591b7fe3ead35be39a992666b4fb976ebd6f5ad8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-15T15:48:54Z",
    "title_canon_sha256": "8b8b31be6c04891eb130da17100df2b8ca77542d17d02d198e78e38c50a40090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3499",
    "kind": "arxiv",
    "version": 1
  }
}