Pith Number

pith:TRMB3EAK

pith:2010:TRMB3EAKPZ5X2ZHB7NDS6WGFMS

not attested not anchored not stored refs pending

Local fibered right adjoints are polynomial

Anders Kock, Joachim Kock

arxiv:1005.4236 v2 · 2010-05-23 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRMB3EAKPZ5X2ZHB7NDS6WGFMS}

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	2026-05-18T02:47:51.429007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c581d900a7e7b7d64e1fb472f58c564bca2771a50a4df52bc4014d5fe62f6f9

Aliases

arxiv: 1005.4236 · arxiv_version: 1005.4236v2 · doi: 10.48550/arxiv.1005.4236 · pith_short_12: TRMB3EAKPZ5X · pith_short_16: TRMB3EAKPZ5X2ZHB · pith_short_8: TRMB3EAK

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/TRMB3EAKPZ5X2ZHB7NDS6WGFMS \
  | 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: 9c581d900a7e7b7d64e1fb472f58c564bca2771a50a4df52bc4014d5fe62f6f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "549d8443a57cafc22029e5ca60583bce9aa4a90c81b06670f147fcf4eb9af13e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-05-23T22:21:17Z",
    "title_canon_sha256": "555ee9270f36b77d825c9e5dce215e2ed0ad878da44edfd5277478ea54a342e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4236",
    "kind": "arxiv",
    "version": 2
  }
}