Pith Number

pith:VQX7OG3K

pith:2013:VQX7OG3KSDHQFP4PWFUT3RHFQZ

not attested not anchored not stored refs pending

Minimal Graphs and Graphical Mean Curvature Flow in $M \times \mathbb R$

Ling Xiao, Matthew McGonagle

arxiv:1311.3699 v1 · 2013-11-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQX7OG3KSDHQFP4PWFUT3RHFQZ}

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	2026-05-18T03:07:03.239061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2ff71b6a90cf02bf8fb1693dc4e586551f641d8461f458b4d4439a5ea53843

Aliases

arxiv: 1311.3699 · arxiv_version: 1311.3699v1 · doi: 10.48550/arxiv.1311.3699 · pith_short_12: VQX7OG3KSDHQ · pith_short_16: VQX7OG3KSDHQFP4P · pith_short_8: VQX7OG3K

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/VQX7OG3KSDHQFP4PWFUT3RHFQZ \
  | 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: ac2ff71b6a90cf02bf8fb1693dc4e586551f641d8461f458b4d4439a5ea53843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00c57ef9b3a5df593821bf986183fd7f0b66763977fc6bc2feceb6dd21f73528",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-14T23:45:47Z",
    "title_canon_sha256": "0e65fc5eae5d9458d571d8ef015d85773a7e3744dbe12b3c99ca4b72d80b5286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3699",
    "kind": "arxiv",
    "version": 1
  }
}