Pith Number

pith:25IG3GUJ

pith:2014:25IG3GUJ2VDXYGBA7PDHCACGA3

not attested not anchored not stored refs pending

Modular envelopes, OSFT and nonsymmetric (non-$\Sigma$) modular operads

Martin Markl

arxiv:1410.3414 v2 · 2014-10-13 · math.AT · 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{25IG3GUJ2VDXYGBA7PDHCACGA3}

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	2026-05-18T02:18:21.836586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7506d9a89d5477c1820fbc671004606c1b7de6a99541879651afa8359758b0c

Aliases

arxiv: 1410.3414 · arxiv_version: 1410.3414v2 · doi: 10.48550/arxiv.1410.3414 · pith_short_12: 25IG3GUJ2VDX · pith_short_16: 25IG3GUJ2VDXYGBA · pith_short_8: 25IG3GUJ

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/25IG3GUJ2VDXYGBA7PDHCACGA3 \
  | 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: d7506d9a89d5477c1820fbc671004606c1b7de6a99541879651afa8359758b0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20829ab06c94e65b4fb58ee147eee9e855c2b88bb5fcb4c6a55d1f7c7981f98c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-10-13T18:01:46Z",
    "title_canon_sha256": "a43ef8405c5cdc2132facb28d076cbb19388d632bc4145315990ac86aa6f6ddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3414",
    "kind": "arxiv",
    "version": 2
  }
}