Pith. sign in
Pith Number

pith:Q5V7HC3F

pith:1991:Q5V7HC3FBZEDIT3TZIFCKJ45MA
not attested not anchored not stored refs pending

Mirror Manifolds And Topological Field Theory

Edward Witten

arxiv:hep-th/9112056 v1 · 1991-12-19 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Q5V7HC3FBZEDIT3TZIFCKJ45MA}

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

5 papers in Pith

Receipt and verification
First computed 2026-07-04T14:32:26.069200Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

876bf38b650e48344f73ca0a25279d6027aa90acbf64d8ec81d4f195fb441614

Aliases

arxiv: hep-th/9112056 · arxiv_version: hep-th/9112056v1 · doi: 10.48550/arxiv.hep-th/9112056 · pith_short_12: Q5V7HC3FBZED · pith_short_16: Q5V7HC3FBZEDIT3T · pith_short_8: Q5V7HC3F
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q5V7HC3FBZEDIT3TZIFCKJ45MA \
  | 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: 876bf38b650e48344f73ca0a25279d6027aa90acbf64d8ec81d4f195fb441614
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1f148083204ffe43013118168669cf89d81a788fc5ce9974f89ccdba298ddf74",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1991-12-19T20:52:00Z",
    "title_canon_sha256": "9fdaa86cee4ba5b59a33c5cb2298c424df505195a31d3e68b56428e2486758ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9112056",
    "kind": "arxiv",
    "version": 1
  }
}