Pith Number

pith:27QZJLFD

pith:2011:27QZJLFD53L5PWN4ADVJ2MJ2ME

not attested not anchored not stored refs pending

Contracting convex hypersurfaces by curvature

Ben Andrews, James McCoy, Yu Zheng

arxiv:1104.0756 v1 · 2011-04-05 · math.AP · 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{27QZJLFD53L5PWN4ADVJ2MJ2ME}

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	2026-05-18T04:25:02.604101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7e194aca3eed7d7d9bc00ea9d313a612867e788c4a8bf4bb73d0879dfae23dc

Aliases

arxiv: 1104.0756 · arxiv_version: 1104.0756v1 · doi: 10.48550/arxiv.1104.0756 · pith_short_12: 27QZJLFD53L5 · pith_short_16: 27QZJLFD53L5PWN4 · pith_short_8: 27QZJLFD

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/27QZJLFD53L5PWN4ADVJ2MJ2ME \
  | 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: d7e194aca3eed7d7d9bc00ea9d313a612867e788c4a8bf4bb73d0879dfae23dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4cbe36f3dd92a2bcb577eb08d8a35f1d986d295450666452d3cd5b3347ac41",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-05T07:54:05Z",
    "title_canon_sha256": "c2b6f10b14aeee0dc0941bc656944ff48ac1ff221296e3af0310809228b4ce9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0756",
    "kind": "arxiv",
    "version": 1
  }
}