Pith Number

pith:ARMI2OYV

pith:2016:ARMI2OYVXZ6FX3BKA6FOMTLNFU

not attested not anchored not stored refs pending

Open-closed modular operads, Cardy condition and string field theory

Martin Doubek, Martin Markl

arxiv:1611.08759 v1 · 2016-11-26 · 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{ARMI2OYVXZ6FX3BKA6FOMTLNFU}

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	2026-05-18T00:56:36.889232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04588d3b15be7c5bec2a078ae64d6d2d2675c3e1b7db0b8aa896ee788dfb5612

Aliases

arxiv: 1611.08759 · arxiv_version: 1611.08759v1 · doi: 10.48550/arxiv.1611.08759 · pith_short_12: ARMI2OYVXZ6F · pith_short_16: ARMI2OYVXZ6FX3BK · pith_short_8: ARMI2OYV

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/ARMI2OYVXZ6FX3BKA6FOMTLNFU \
  | 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: 04588d3b15be7c5bec2a078ae64d6d2d2675c3e1b7db0b8aa896ee788dfb5612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2e9fff9e07926064a3eab868e60f94ceaa476bfcea5ee81d6c1b09b4ceda3ae",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-11-26T23:13:46Z",
    "title_canon_sha256": "64f22de4d3fc0d0e6553fa2701e213e7e19293275488014bc0cb2e492fcfda93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08759",
    "kind": "arxiv",
    "version": 1
  }
}