Pith Number

pith:MCPG5WWW

pith:2026:MCPG5WWWPMTKCM4PIOOB3WFPT5

not attested not anchored not stored refs pending

Relative dendroidal Rezk nerve and applications

Francesca Pratali, Kensuke Arakawa, Victor Carmona

arxiv:2606.11895 v1 · 2026-06-10 · math.AT · math.CT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCPG5WWWPMTKCM4PIOOB3WFPT5}

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	2026-06-11T01:10:14.251076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

609e6edad67b26a1338f439c1dd8af9f7314bb292b2b91cf3710c31f75f4a63c

Aliases

arxiv: 2606.11895 · arxiv_version: 2606.11895v1 · doi: 10.48550/arxiv.2606.11895 · pith_short_12: MCPG5WWWPMTK · pith_short_16: MCPG5WWWPMTKCM4P · pith_short_8: MCPG5WWW

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/MCPG5WWWPMTKCM4PIOOB3WFPT5 \
  | 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: 609e6edad67b26a1338f439c1dd8af9f7314bb292b2b91cf3710c31f75f4a63c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f086dfd431dce6f4bf95057da97be6d61b4ff57995da692d732756dae8b184",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-10T10:24:46Z",
    "title_canon_sha256": "472608217bd35048b52bdf66bf9332b2cacaf9c89fd47d37f6ba40195309f64c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11895",
    "kind": "arxiv",
    "version": 1
  }
}