Pith Number

pith:M6DP4TTL

pith:2011:M6DP4TTLEQY6PX4ROOGIMEDAT6

not attested not anchored not stored refs pending

The kernel and the injectivity of the EPRL map

Jerzy lewandowski, Marcin Kisielowski, Wojciech Kaminski

arxiv:1109.5023 v1 · 2011-09-23 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6DP4TTLEQY6PX4ROOGIMEDAT6}

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	2026-05-18T02:00:26.184810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6786fe4e6b2431e7df91738c8610609fb9f3bf4f6094d2d55400523aaca1d8fd

Aliases

arxiv: 1109.5023 · arxiv_version: 1109.5023v1 · doi: 10.48550/arxiv.1109.5023 · pith_short_12: M6DP4TTLEQY6 · pith_short_16: M6DP4TTLEQY6PX4R · pith_short_8: M6DP4TTL

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/M6DP4TTLEQY6PX4ROOGIMEDAT6 \
  | 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: 6786fe4e6b2431e7df91738c8610609fb9f3bf4f6094d2d55400523aaca1d8fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fec3cb3e03fd4b627ce5740d9ebd124d034b4ec5b3738bc0b475bc87f0f3a9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-23T09:21:41Z",
    "title_canon_sha256": "9d0e246d6dd6ab28289e7cfa474115be836c340bd867f4b14b0f01e1bdae5ca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5023",
    "kind": "arxiv",
    "version": 1
  }
}