Pith Number

pith:7DI7C3F7

pith:2024:7DI7C3F7FGTKBXK336LSFXBV5B

not attested not anchored not stored refs pending

Ray-Singer Torsion, Topological Strings and Black Holes

Cumrun Vafa

arxiv:2401.12816 v2 · 2024-01-23 · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DI7C3F7FGTKBXK336LSFXBV5B}

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

On the Origin and Fate of Our Universe

Receipt and verification

First computed	2026-07-05T07:54:07.576580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8d1f16cbf29a6a0dd5bdf9722dc35e851e63962ddf68dd7c6b2b6a34e34df65

Aliases

arxiv: 2401.12816 · arxiv_version: 2401.12816v2 · doi: 10.48550/arxiv.2401.12816 · pith_short_12: 7DI7C3F7FGTK · pith_short_16: 7DI7C3F7FGTKBXK3 · pith_short_8: 7DI7C3F7

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/7DI7C3F7FGTKBXK336LSFXBV5B \
  | 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: f8d1f16cbf29a6a0dd5bdf9722dc35e851e63962ddf68dd7c6b2b6a34e34df65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "344201c0ad86b0ff97eb1cfc16cd97dcaae315ee0cb7f38453b0961337b5322a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-01-23T14:51:42Z",
    "title_canon_sha256": "2fb31765b6b4c12e398411ef87049318b5939c52a0b88882be0ede0d74353a29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.12816",
    "kind": "arxiv",
    "version": 2
  }
}