Pith Number

pith:RSG6QCUO

pith:1999:RSG6QCUOUEOVMZYEDLRAM5S4CR

not attested not anchored not stored refs pending

The E_8-manifold, singular fibers and handlebody decompositions

Paul Melvin, Robion Kirby

arxiv:math/9911253 v1 · 1999-11-19 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RSG6QCUOUEOVMZYEDLRAM5S4CR}

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	2026-05-18T01:05:32.417946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c8de80a8ea11d5667041ae206765c147ee067bce6cbded5ecb78b29c70059f0

Aliases

arxiv: math/9911253 · arxiv_version: math/9911253v1 · doi: 10.48550/arxiv.math/9911253 · pith_short_12: RSG6QCUOUEOV · pith_short_16: RSG6QCUOUEOVMZYE · pith_short_8: RSG6QCUO

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/RSG6QCUOUEOVMZYEDLRAM5S4CR \
  | 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: 8c8de80a8ea11d5667041ae206765c147ee067bce6cbded5ecb78b29c70059f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79bcfe3a7de10c6eb90774cf33f61c448442c0dcb5c713b394170afddff2b29b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-11-19T00:00:00Z",
    "title_canon_sha256": "b0f8e2e1ef74c710d7bc1c44ea252da1be19e9407ea337f747ac50389a813645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911253",
    "kind": "arxiv",
    "version": 1
  }
}