Pith Number

pith:AHTBOFCN

pith:2015:AHTBOFCN7YQG2GTCFMKJA5TVFL

not attested not anchored not stored refs pending

The elastic trefoil is the twice covered circle

Heiko von der Mosel, Henryk Gerlach, Philipp Reiter

arxiv:1510.06171 v2 · 2015-10-21 · 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{AHTBOFCN7YQG2GTCFMKJA5TVFL}

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	2026-05-18T00:49:42.633160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01e617144dfe206d1a622b149076752acd8e0331970797009270d3c567e10f57

Aliases

arxiv: 1510.06171 · arxiv_version: 1510.06171v2 · doi: 10.48550/arxiv.1510.06171 · pith_short_12: AHTBOFCN7YQG · pith_short_16: AHTBOFCN7YQG2GTC · pith_short_8: AHTBOFCN

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/AHTBOFCN7YQG2GTCFMKJA5TVFL \
  | 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: 01e617144dfe206d1a622b149076752acd8e0331970797009270d3c567e10f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0682705576afa2f864e41630553570fb64ccf38b3847d7d2d92776c7d601ca5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-21T09:18:07Z",
    "title_canon_sha256": "a7573f37977ac96480d0bb84e173d61ee4046532688ab64dd75d6a58037e7d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06171",
    "kind": "arxiv",
    "version": 2
  }
}