Pith Number

pith:DH3KBEVF

pith:2017:DH3KBEVF7Y5NGUZRXPX5XR6NJ3

not attested not anchored not stored refs pending

Embedding simply connected 2-complexes in 3-space -- II. Rotation systems

Johannes Carmesin

arxiv:1709.04643 v3 · 2017-09-14 · math.CO · 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{DH3KBEVF7Y5NGUZRXPX5XR6NJ3}

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	2026-07-05T00:02:10.596943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f6a092a5fe3ad35331bbefdbc7cd4ec43e301aa881496604fcd08d975f55d1

Aliases

arxiv: 1709.04643 · arxiv_version: 1709.04643v3 · doi: 10.48550/arxiv.1709.04643 · pith_short_12: DH3KBEVF7Y5N · pith_short_16: DH3KBEVF7Y5NGUZR · pith_short_8: DH3KBEVF

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/DH3KBEVF7Y5NGUZRXPX5XR6NJ3 \
  | 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: 19f6a092a5fe3ad35331bbefdbc7cd4ec43e301aa881496604fcd08d975f55d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9beb983c7a1feeb6382903021273f29b1eeb6723536b786adad25d6f6f34ea25",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-14T07:43:21Z",
    "title_canon_sha256": "f20bb2366d745521f876b2e52795869e4179606d9d7690d395c3f34b977384b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04643",
    "kind": "arxiv",
    "version": 3
  }
}