Pith Number

pith:XF43MHE5

pith:2017:XF43MHE5P7EJLEUFHBUR5IVXH2

not attested not anchored not stored refs pending

Mapping degrees between spherical $3$-manifolds

Daciberg Gon\c{c}alves, Peter Wong, Xuezhi Zhao

arxiv:1703.04345 v3 · 2017-03-13 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XF43MHE5P7EJLEUFHBUR5IVXH2}

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	2026-05-18T00:26:00.763975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b979b61c9d7fc895928538691ea2b73eb71fe1a3d80ff66ea77a829a33805129

Aliases

arxiv: 1703.04345 · arxiv_version: 1703.04345v3 · doi: 10.48550/arxiv.1703.04345 · pith_short_12: XF43MHE5P7EJ · pith_short_16: XF43MHE5P7EJLEUF · pith_short_8: XF43MHE5

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/XF43MHE5P7EJLEUFHBUR5IVXH2 \
  | 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: b979b61c9d7fc895928538691ea2b73eb71fe1a3d80ff66ea77a829a33805129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab8b511779b0938b17703d346852a08b7d1f44931ef59c950c31b23096b77e6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-03-13T11:47:34Z",
    "title_canon_sha256": "58a4b61ee7aebf1e931ee55a82f454adcae5faff5ec312b6e79e2506bfba8b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04345",
    "kind": "arxiv",
    "version": 3
  }
}