Pith Number

pith:I52EKZGJ

pith:2020:I52EKZGJQQBYOGSNSR5VO4PEWH

not attested not anchored not stored refs pending

On Ecker's local integral quantity at infinity for ancient mean curvature flows

Keita Kunikawa

arxiv:2005.09845 v2 · 2020-05-20 · 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{I52EKZGJQQBYOGSNSR5VO4PEWH}

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	2026-07-05T01:11:13.911810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47744564c98403871a4d947b5771e4b1c045c7bd3794493afda55c1bbfc90651

Aliases

arxiv: 2005.09845 · arxiv_version: 2005.09845v2 · doi: 10.48550/arxiv.2005.09845 · pith_short_12: I52EKZGJQQBY · pith_short_16: I52EKZGJQQBYOGSN · pith_short_8: I52EKZGJ

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/I52EKZGJQQBYOGSNSR5VO4PEWH \
  | 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: 47744564c98403871a4d947b5771e4b1c045c7bd3794493afda55c1bbfc90651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c03273e2f974dc36641acc27ec90a6287c1df305494c07f06f84a45b3809cae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-05-20T05:03:39Z",
    "title_canon_sha256": "61f5e2a252e53d55de82836ac56e3fd5fc18e0ec3f7a7a193fb0b5c80e7ea6cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.09845",
    "kind": "arxiv",
    "version": 2
  }
}