Pith Number

pith:5SQJMA4C

pith:2011:5SQJMA4CQ7WIHDFLF2KM5FCPPG

not attested not anchored not stored refs pending

The Lifting Theorem for Multitensors

Denis-Charles Cisinski, Mark Weber, Michael Batanin

arxiv:1106.1979 v1 · 2011-06-10 · 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{5SQJMA4CQ7WIHDFLF2KM5FCPPG}

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	2026-05-18T04:20:13.893966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca096038287ec838cab2e94ce944f7985651e832f2c4e59634d73ce8efbef86

Aliases

arxiv: 1106.1979 · arxiv_version: 1106.1979v1 · doi: 10.48550/arxiv.1106.1979 · pith_short_12: 5SQJMA4CQ7WI · pith_short_16: 5SQJMA4CQ7WIHDFL · pith_short_8: 5SQJMA4C

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/5SQJMA4CQ7WIHDFLF2KM5FCPPG \
  | 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: eca096038287ec838cab2e94ce944f7985651e832f2c4e59634d73ce8efbef86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3782127fc847339a443a802ecb21aaa1f5396a55f853e1dbc0cf58a2c2da8da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-06-10T08:44:36Z",
    "title_canon_sha256": "978e761d131e9e3fbb655b2d3671e4881a56c6ef8f810656d80c8821e8a896d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1979",
    "kind": "arxiv",
    "version": 1
  }
}