Pith Number

pith:4HC365KZ

pith:2003:4HC365KZ7OVMV7PA7N47HIW4XY

not attested not anchored not stored refs pending

Metric transformations under collapsing of Riemannian manifolds

Bennett Chow, David Glickenstein, Peng Lu

arxiv:math/0303122 v2 · 2003-03-11 · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HC365KZ7OVMV7PA7N47HIW4XY}

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	2026-05-18T01:29:37.082136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c5bf7559fbaacafde0fb79f3a2dcbe205dbefdfb8b57e67d9b6c6fc4234621

Aliases

arxiv: math/0303122 · arxiv_version: math/0303122v2 · doi: 10.48550/arxiv.math/0303122 · pith_short_12: 4HC365KZ7OVM · pith_short_16: 4HC365KZ7OVMV7PA · pith_short_8: 4HC365KZ

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/4HC365KZ7OVMV7PA7N47HIW4XY \
  | 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: e1c5bf7559fbaacafde0fb79f3a2dcbe205dbefdfb8b57e67d9b6c6fc4234621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4edbaaf23dbcbd01a725de18af66907586f8384207ab9ed91194cd3d90237c38",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-03-11T04:01:54Z",
    "title_canon_sha256": "cedfcfdc14e777aa4385ed7184bbee12776094f41ac04fa922b80c7abacd1628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303122",
    "kind": "arxiv",
    "version": 2
  }
}