Pith Number

pith:RF53FPDW

pith:2016:RF53FPDWVVXP5UVZP3WDDC4SWJ

not attested not anchored not stored refs pending

Embeddedness of spheres in homogeneous three-manifolds

Joaqu\'in P\'erez, Pablo Mira, William H. Meeks III

arxiv:1601.06619 v1 · 2016-01-25 · 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{RF53FPDWVVXP5UVZP3WDDC4SWJ}

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	2026-05-18T01:22:04.100144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

897bb2bc76ad6efed2b97eec318b92b250790d6d071c48da7542715fb6e27f0b

Aliases

arxiv: 1601.06619 · arxiv_version: 1601.06619v1 · doi: 10.48550/arxiv.1601.06619 · pith_short_12: RF53FPDWVVXP · pith_short_16: RF53FPDWVVXP5UVZ · pith_short_8: RF53FPDW

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/RF53FPDWVVXP5UVZP3WDDC4SWJ \
  | 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: 897bb2bc76ad6efed2b97eec318b92b250790d6d071c48da7542715fb6e27f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f53d6ca0f65213c957061a24fa4b121b7c31ae1bf640dcdb7409423ee8e9d230",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-25T14:42:26Z",
    "title_canon_sha256": "cff5afac07aed432f449fc136c0ba0230db773a22451efa57a85d1e2c378287f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06619",
    "kind": "arxiv",
    "version": 1
  }
}