Pith Number

pith:TATQBXG6

pith:2015:TATQBXG6N3S44WMZDVPJUEPUSM

not attested not anchored not stored refs pending

Rigidity and Curvature Estimates for Graphical Self-shrinkers

Jonathan J. Zhu, Qiang Guang

arxiv:1510.06061 v1 · 2015-10-20 · 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{TATQBXG6N3S44WMZDVPJUEPUSM}

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	2026-05-18T00:21:57.393850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

982700dcde6ee5ce59991d5e9a11f493394ddcf756b2bd46e2b214c2b6a4e5e8

Aliases

arxiv: 1510.06061 · arxiv_version: 1510.06061v1 · doi: 10.48550/arxiv.1510.06061 · pith_short_12: TATQBXG6N3S4 · pith_short_16: TATQBXG6N3S44WMZ · pith_short_8: TATQBXG6

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/TATQBXG6N3S44WMZDVPJUEPUSM \
  | 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: 982700dcde6ee5ce59991d5e9a11f493394ddcf756b2bd46e2b214c2b6a4e5e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf17120e4bbaca28c17ccaa58dc0006a4a58f88cea9266ba3cd2dcfa13217e3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-20T21:08:09Z",
    "title_canon_sha256": "de9cc22e9c883bb1b43bc12206e839746a7f2d9a1046cb6238d8cf89bc7ff890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06061",
    "kind": "arxiv",
    "version": 1
  }
}