Pith Number

pith:AZ2PB3QH

pith:2019:AZ2PB3QH6AUKBQTDQZGRRADQ27

not attested not anchored not stored refs pending

The curve shortening flow with density of a spherical curve in codimension two

Francisco Vi\~nado-Lereu

arxiv:1908.07441 v1 · 2019-08-20 · 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{AZ2PB3QH6AUKBQTDQZGRRADQ27}

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	2026-07-05T01:49:47.458346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0674f0ee07f028a0c263864d188070d7f232376a23565c9057957430aba12203

Aliases

arxiv: 1908.07441 · arxiv_version: 1908.07441v1 · doi: 10.48550/arxiv.1908.07441 · pith_short_12: AZ2PB3QH6AUK · pith_short_16: AZ2PB3QH6AUKBQTD · pith_short_8: AZ2PB3QH

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/AZ2PB3QH6AUKBQTDQZGRRADQ27 \
  | 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: 0674f0ee07f028a0c263864d188070d7f232376a23565c9057957430aba12203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b85c3cbe54b948f4e66fcfa5007ceae7c94f76ff3c747799f98490c81cf22df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-20T15:44:53Z",
    "title_canon_sha256": "69627e65f159d9af7e09e5a33a756e5eb07f28af3306912cec09ef41ba3552cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07441",
    "kind": "arxiv",
    "version": 1
  }
}