Pith Number

pith:4QBBPYUQ

pith:1997:4QBBPYUQQZ352PQPZWG5CLDZMP

not attested not anchored not stored refs pending

Notes on Matrix and Micro Strings

E. Verlinde, H. Verlinde, R. Dijkgraaf

arxiv:hep-th/9709107 v2 · 1997-09-15 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QBBPYUQQZ352PQPZWG5CLDZMP}

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	2026-07-04T16:05:42.956956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e40217e2908677dd3e0fcd8dd12c7963d5e8d9c46c8b839839f6dc74dd73f24f

Aliases

arxiv: hep-th/9709107 · arxiv_version: hep-th/9709107v2 · doi: 10.48550/arxiv.hep-th/9709107 · pith_short_12: 4QBBPYUQQZ35 · pith_short_16: 4QBBPYUQQZ352PQP · pith_short_8: 4QBBPYUQ

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/4QBBPYUQQZ352PQPZWG5CLDZMP \
  | 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: e40217e2908677dd3e0fcd8dd12c7963d5e8d9c46c8b839839f6dc74dd73f24f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "246e0c4d6696b787751f98c0ed1fa1cae474c3d7556e54dde9bc6bd81c178c8e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-09-15T19:37:27Z",
    "title_canon_sha256": "c517e3b30d92978be6d0e96a0568d590480dc3793953a64c826e7ddc5101b852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9709107",
    "kind": "arxiv",
    "version": 2
  }
}