Pith Number

pith:DSU7LZLD

pith:2021:DSU7LZLDPDEBOZOHZD6XJYPFHV

not attested not anchored not stored refs pending

Classification of convex ancient free boundary curve shortening flows in the disc

Mat Langford, Theodora Bourni

arxiv:2111.06051 v1 · 2021-11-11 · 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{DSU7LZLDPDEBOZOHZD6XJYPFHV}

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	2026-07-05T07:14:49.242598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ca9f5e56378c81765c7c8fd74e1e53d73c46f75b43025cca0db47152c94f2b6

Aliases

arxiv: 2111.06051 · arxiv_version: 2111.06051v1 · doi: 10.48550/arxiv.2111.06051 · pith_short_12: DSU7LZLDPDEB · pith_short_16: DSU7LZLDPDEBOZOH · pith_short_8: DSU7LZLD

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/DSU7LZLDPDEBOZOHZD6XJYPFHV \
  | 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: 1ca9f5e56378c81765c7c8fd74e1e53d73c46f75b43025cca0db47152c94f2b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2d05ad7e01c905f451ea29afd12c4b20e81abc9d45407ca0ecf535bf6b3a46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-11-11T04:55:04Z",
    "title_canon_sha256": "0617e63f5a634231f96333b25bd088f86747d1122eb072a4055a88741127584c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.06051",
    "kind": "arxiv",
    "version": 1
  }
}