Pith Number

pith:D24X3BSP

pith:2000:D24X3BSPUT36I2EW3Q3Y34VEFO

not attested not anchored not stored refs pending

Overview Of K-Theory Applied To Strings

Edward Witten

arxiv:hep-th/0007175 v1 · 2000-07-21 · 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{D24X3BSPUT36I2EW3Q3Y34VEFO}

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.

Cited by

1 paper in Pith

Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory

Receipt and verification

First computed	2026-07-04T17:25:45.932438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb97d864fa4f7e46896dc378df2a42b888f0c71f30ee644717d248743e9681e

Aliases

arxiv: hep-th/0007175 · arxiv_version: hep-th/0007175v1 · doi: 10.48550/arxiv.hep-th/0007175 · pith_short_12: D24X3BSPUT36 · pith_short_16: D24X3BSPUT36I2EW · pith_short_8: D24X3BSP

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/D24X3BSPUT36I2EW3Q3Y34VEFO \
  | 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: 1eb97d864fa4f7e46896dc378df2a42b888f0c71f30ee644717d248743e9681e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98aa73c198274c609882e4e6518ddefc4437fc8afecea2e09b8d7ad8ce1346af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-07-21T13:52:47Z",
    "title_canon_sha256": "22b689275a1b46a3f9adeeb93f14085364982d9ea0ffcb557b0a9951e627c3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0007175",
    "kind": "arxiv",
    "version": 1
  }
}