Pith Number

pith:K2Q6LH7C

pith:2011:K2Q6LH7CYIRZJ4KPEE4DDYAIMI

not attested not anchored not stored refs pending

Emergent Braided Matter of Quantum Geometry

Jonathan Hackett, Louis Kauffman, Sundance Bilson-Thompson, Yidun Wan

arxiv:1109.0080 v2 · 2011-09-01 · hep-th · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2Q6LH7CYIRZJ4KPEE4DDYAIMI}

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	2026-05-18T03:59:25.299983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a1e59fe2c22394f14f213831e0086213f0288ea790f7644b8e0f0164242eeb

Aliases

arxiv: 1109.0080 · arxiv_version: 1109.0080v2 · doi: 10.48550/arxiv.1109.0080 · pith_short_12: K2Q6LH7CYIRZ · pith_short_16: K2Q6LH7CYIRZJ4KP · pith_short_8: K2Q6LH7C

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/K2Q6LH7CYIRZJ4KPEE4DDYAIMI \
  | 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: 56a1e59fe2c22394f14f213831e0086213f0288ea790f7644b8e0f0164242eeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8867adb95d89a4adc599a6494ef02d9c3492354ba097bc652f27380213198adb",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-01T03:38:33Z",
    "title_canon_sha256": "eadc4ac848b04f5d8ba14fefe58f2edebc331b0ead4effe11bb7f10fb9c3bd4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0080",
    "kind": "arxiv",
    "version": 2
  }
}