Pith Number

pith:EQFX4L2N

pith:1997:EQFX4L2NF3I7SPL7YFHVGXTDVF

not attested not anchored not stored refs pending

From M-theory to F-theory, with Branes

Clifford V. Johnson

arxiv:hep-th/9706155 v2 · 1997-06-23 · 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{EQFX4L2NF3I7SPL7YFHVGXTDVF}

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	2026-07-04T16:05:37.891990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

240b7e2f4d2ed1f93d7fc14f535e63a9668ce37def74d632ebd2a236584aeeae

Aliases

arxiv: hep-th/9706155 · arxiv_version: hep-th/9706155v2 · doi: 10.48550/arxiv.hep-th/9706155 · pith_short_12: EQFX4L2NF3I7 · pith_short_16: EQFX4L2NF3I7SPL7 · pith_short_8: EQFX4L2N

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/EQFX4L2NF3I7SPL7YFHVGXTDVF \
  | 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: 240b7e2f4d2ed1f93d7fc14f535e63a9668ce37def74d632ebd2a236584aeeae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ef031bee329d06f273d8809011b6373a6b5fd66b96d83a68ba7c550e89ab045",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-06-23T08:39:39Z",
    "title_canon_sha256": "ad16152607ed75d73a0df263a77a8c3613a127d2ea6dea6770235386016a5762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9706155",
    "kind": "arxiv",
    "version": 2
  }
}