Pith Number

pith:VXPY4L6O

pith:1996:VXPY4L6ORLZ2DDTKYC4IQL3SZ7

not attested not anchored not stored refs pending

Colliding Singularities in F-theory and Phase Transitions

Andrei Johansen, Michael Bershadsky

arxiv:hep-th/9610111 v2 · 1996-10-16 · 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{VXPY4L6ORLZ2DDTKYC4IQL3SZ7}

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	2026-05-18T02:36:03.007619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

addf8e2fce8af3a18e6ac0b8882f72cfd9fea58c5b6e8b2de7af9366cf82a27a

Aliases

arxiv: hep-th/9610111 · arxiv_version: hep-th/9610111v2 · doi: 10.48550/arxiv.hep-th/9610111 · pith_short_12: VXPY4L6ORLZ2 · pith_short_16: VXPY4L6ORLZ2DDTK · pith_short_8: VXPY4L6O

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/VXPY4L6ORLZ2DDTKYC4IQL3SZ7 \
  | 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: addf8e2fce8af3a18e6ac0b8882f72cfd9fea58c5b6e8b2de7af9366cf82a27a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4af8b0d0f810d844b6cfa1e8bf12dc87111a9a38cae6761e3d7325dacfb6a172",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-10-16T22:06:42Z",
    "title_canon_sha256": "7cbcd01541139c52569afb1abe99bb31736755a01b4d69072d7a992b946070d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9610111",
    "kind": "arxiv",
    "version": 2
  }
}