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Pith Number

pith:NVHW276P

pith:2008:NVHW276PIAXGWSPWMDFXO5FFFD
not attested not anchored not stored refs pending

Cosmology of F-theory GUTs

Alireza Tavanfar, Cumrun Vafa, Jonathan J. Heckman

arxiv:0812.3155 v3 · 2008-12-17 · hep-th · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NVHW276PIAXGWSPWMDFXO5FFFD}

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 2026-05-18T02:35:08.761179Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6d4f6d7fcf402e6b49f660cb7774a528f3d7fcf7dd475d91fe519ba5302b3b2c

Aliases

arxiv: 0812.3155 · arxiv_version: 0812.3155v3 · doi: 10.48550/arxiv.0812.3155 · pith_short_12: NVHW276PIAXG · pith_short_16: NVHW276PIAXGWSPW · pith_short_8: NVHW276P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NVHW276PIAXGWSPWMDFXO5FFFD \
  | 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: 6d4f6d7fcf402e6b49f660cb7774a528f3d7fcf7dd475d91fe519ba5302b3b2c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dcb063c4ddfc66cdbde5bfebfc91eb79c07cf68ce98fc39880e72c337b30e0d2",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-12-17T17:26:23Z",
    "title_canon_sha256": "f51a7f1669f1e6f0505e6d4a4074d72e35363861e0f6e49c1a4c6f2d1e207d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3155",
    "kind": "arxiv",
    "version": 3
  }
}