Pith Number

pith:OQQHFD52

pith:2021:OQQHFD5253QUJZKI2F3TSBMTBX

not attested not anchored not stored refs pending

Quantitative long range curvature estimate for mean curvature flow

Jingze Zhu

arxiv:2108.11852 v1 · 2021-08-26 · 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{OQQHFD5253QUJZKI2F3TSBMTBX}

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	2026-07-05T03:09:10.375163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7420728fbaeee144e548d1773905930dc386ec89ec6c7564b41ad956ad9b0410

Aliases

arxiv: 2108.11852 · arxiv_version: 2108.11852v1 · doi: 10.48550/arxiv.2108.11852 · pith_short_12: OQQHFD5253QU · pith_short_16: OQQHFD5253QUJZKI · pith_short_8: OQQHFD52

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/OQQHFD5253QUJZKI2F3TSBMTBX \
  | 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: 7420728fbaeee144e548d1773905930dc386ec89ec6c7564b41ad956ad9b0410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d7ca1904f039d04a3505404956b4b8584687638ee6d277d0fd417366b1d1c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-08-26T15:23:48Z",
    "title_canon_sha256": "21f6e44043ad10c45549a25dc2c461b22363649565dd0c2ad7841898d7c5bb5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11852",
    "kind": "arxiv",
    "version": 1
  }
}