Pith Number

pith:ZCDTY5HM

pith:2018:ZCDTY5HMTOMWJSTR6E6HMETWB5

not attested not anchored not stored refs pending

Metric cones, N-body collisions, and Marchal's lemma

Richard Montgomery

arxiv:1804.03059 v1 · 2018-04-09 · math.DS · 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{ZCDTY5HMTOMWJSTR6E6HMETWB5}

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	2026-05-18T00:18:57.484247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8873c74ec9b9964ca71f13c7612760f6a6cd10aa6a440db3ea8b62b868884a1

Aliases

arxiv: 1804.03059 · arxiv_version: 1804.03059v1 · doi: 10.48550/arxiv.1804.03059 · pith_short_12: ZCDTY5HMTOMW · pith_short_16: ZCDTY5HMTOMWJSTR · pith_short_8: ZCDTY5HM

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/ZCDTY5HMTOMWJSTR6E6HMETWB5 \
  | 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: c8873c74ec9b9964ca71f13c7612760f6a6cd10aa6a440db3ea8b62b868884a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658f981b01534b275c97cd07d53cf41f7ea7fadb23c7774bcc778f90c6a38239",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-09T15:36:14Z",
    "title_canon_sha256": "591f322402a2c906fc4fa47babf5cb5bf1c0df1bbb1319eecef81272ae7bbd81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03059",
    "kind": "arxiv",
    "version": 1
  }
}