Pith Number

pith:52PTLPVN

pith:2025:52PTLPVN3UET5OIVDXNVFC4TBX

not attested not anchored not stored refs pending

Convexity of mean convex asymptotically conical self-expanders to the mean curvature flow

Junming Xie

arxiv:2509.01023 v1 · 2025-08-31 · 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{52PTLPVN3UET5OIVDXNVFC4TBX}

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	2026-07-05T12:02:52.389594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee9f35beaddd093eb9151ddb528b930dd78553fb0747f33f59f0ef1994736b47

Aliases

arxiv: 2509.01023 · arxiv_version: 2509.01023v1 · doi: 10.48550/arxiv.2509.01023 · pith_short_12: 52PTLPVN3UET · pith_short_16: 52PTLPVN3UET5OIV · pith_short_8: 52PTLPVN

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/52PTLPVN3UET5OIVDXNVFC4TBX \
  | 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: ee9f35beaddd093eb9151ddb528b930dd78553fb0747f33f59f0ef1994736b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd4601b5d72be9bd92f2ed5410ee4962b2956f3f11b105ac7d7018bba598052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-31T23:30:09Z",
    "title_canon_sha256": "1c8f6db460e81cc4f4c2708a59c96fefced92a69a6e2cb465331de5edc8af9b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01023",
    "kind": "arxiv",
    "version": 1
  }
}