Pith Number

pith:TRZU7SWR

pith:2016:TRZU7SWRFOJJPXCUGD2BGLJI2M

not attested not anchored not stored refs pending

On Realizability of Gauss Diagrams

Andrey Grinblat, Viktor Lopatkin

arxiv:1610.01440 v2 · 2016-09-21 · 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{TRZU7SWRFOJJPXCUGD2BGLJI2M}

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	2026-05-18T00:36:09.550636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c734fcad12b9297dc5430f4132d28d32d8152b94ed9cbd20ba1fa6cde86bb71

Aliases

arxiv: 1610.01440 · arxiv_version: 1610.01440v2 · doi: 10.48550/arxiv.1610.01440 · pith_short_12: TRZU7SWRFOJJ · pith_short_16: TRZU7SWRFOJJPXCU · pith_short_8: TRZU7SWR

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/TRZU7SWRFOJJPXCUGD2BGLJI2M \
  | 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: 9c734fcad12b9297dc5430f4132d28d32d8152b94ed9cbd20ba1fa6cde86bb71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d738a7fb81aba17f56815b7de3a8854979a094d4f19b1cd024e7a6c2389d2b79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-09-21T21:25:19Z",
    "title_canon_sha256": "a1f8a5fd984f418054f30b9c455b94d22741ea473c467240a35b9f8cb1e5c227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01440",
    "kind": "arxiv",
    "version": 2
  }
}