Pith Number

pith:T2UM3MKD

pith:2015:T2UM3MKDGQGVZVUNUET4GGHOC3

not attested not anchored not stored refs pending

Blow-up for realizing homotopy classes in the three-body problem

Richard Montgomery

arxiv:1507.07982 v1 · 2015-07-28 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2UM3MKDGQGVZVUNUET4GGHOC3}

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	2026-05-18T01:36:08.749601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea8cdb143340d5cd68da127c318ee16fd6f0d6353351e49470ece78b375b5a5

Aliases

arxiv: 1507.07982 · arxiv_version: 1507.07982v1 · doi: 10.48550/arxiv.1507.07982 · pith_short_12: T2UM3MKDGQGV · pith_short_16: T2UM3MKDGQGVZVUN · pith_short_8: T2UM3MKD

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/T2UM3MKDGQGVZVUNUET4GGHOC3 \
  | 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: 9ea8cdb143340d5cd68da127c318ee16fd6f0d6353351e49470ece78b375b5a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b263ab3a4504fb735bde0d377c3149f7edb460bce90e9ac2b0b519bf374f2f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-28T23:03:38Z",
    "title_canon_sha256": "0fb950d11a77bf9adfd1f158f58a316e6196008efb1ed9fd6b847f9afa022b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07982",
    "kind": "arxiv",
    "version": 1
  }
}