Pith Number

pith:ELF6CXXC

pith:2017:ELF6CXXCR3I5QFLF4PHJ6BWRSL

not attested not anchored not stored refs pending

Singular branched covers of four-manifolds

Alexandra Kjuchukova, Patricia Cahn

arxiv:1710.11562 v1 · 2017-10-31 · 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{ELF6CXXCR3I5QFLF4PHJ6BWRSL}

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.

Cited by

1 paper in Pith

Minimal genus trisection diagrams of the elliptic surfaces $E(n)$ via handle diagrams

Receipt and verification

First computed	2026-05-18T00:31:36.934422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22cbe15ee28ed1d81565e3ce9f06d192efa76d014a85eadfad5ab0f73c708d9c

Aliases

arxiv: 1710.11562 · arxiv_version: 1710.11562v1 · doi: 10.48550/arxiv.1710.11562 · pith_short_12: ELF6CXXCR3I5 · pith_short_16: ELF6CXXCR3I5QFLF · pith_short_8: ELF6CXXC

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/ELF6CXXCR3I5QFLF4PHJ6BWRSL \
  | 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: 22cbe15ee28ed1d81565e3ce9f06d192efa76d014a85eadfad5ab0f73c708d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7013da2a9942dcd255f6688ce74b67d7c52a66daaf8486c40cae05bb88933d12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-10-31T16:19:38Z",
    "title_canon_sha256": "9df2b73f27ca7ae47f315d0c1dd74b258313cedfb48c4f42db9280578fe5aca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11562",
    "kind": "arxiv",
    "version": 1
  }
}