Pith Number

pith:L4HS3AR3

pith:2019:L4HS3AR3BXDD7UCKRQZ34OLY4J

not attested not anchored not stored refs pending

On the construction of closed nonconvex nonsoliton ancient mean curvature flows

Alexander Mramor, Mathew Langford, Theodora Bourni

arxiv:1911.05641 v1 · 2019-11-13 · 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{L4HS3AR3BXDD7UCKRQZ34OLY4J}

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	2026-07-05T00:18:59.611986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0f2d823b0dc63fd04a8c33be3978e2512026d49e87769ad02127eae5183ef4

Aliases

arxiv: 1911.05641 · arxiv_version: 1911.05641v1 · doi: 10.48550/arxiv.1911.05641 · pith_short_12: L4HS3AR3BXDD · pith_short_16: L4HS3AR3BXDD7UCK · pith_short_8: L4HS3AR3

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/L4HS3AR3BXDD7UCKRQZ34OLY4J \
  | 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: 5f0f2d823b0dc63fd04a8c33be3978e2512026d49e87769ad02127eae5183ef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c38a4358f0061b8a2654275c67bfcb2978a43080ab3ab14f14d79889bfb531f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-11-13T17:17:58Z",
    "title_canon_sha256": "8ad09f99e77a442581aa549aa5309f147590d28b6ed070dd5dbf755b4d8b92ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.05641",
    "kind": "arxiv",
    "version": 1
  }
}